| Literature DB >> 35408626 |
Gabriela Benetel1, Thaysa Dos Santos Silva1, Gisele Maria Fagundes2, Katiéli Caroline Welter1, Flavia Alves Melo1, Annelise A G Lobo1, James Pierre Muir3, Ives C S Bueno1.
Abstract
There is increasing pressure to identify natural feed additives to mitigate methane emissions from livestock systems. Our objective was to investigate the effects of essential oils (EO) extracts star anise (Illicium verum), citronella (Cymbopogon winterianus), clove bud (Eugenia caryophyllus), staigeriana eucalyptus (Eucalyptus staigeriana), globulus eucalyptus (Eucalyptus globulus), ginger (Zingiber officinale), ho wood (Cinnamomum camphora), melaleuca (Melaleuca alternifolia), oregano (Origanum vulgare) and white thyme (Thymus vulgaris) on in vitro methane emissions from four rumen-cannulated Nellore cattle grazing a tropical grass pasture as inoculum donors. The semi-automated gas production technique was used to assess total gas production, dry matter degradability, partitioning factor, ammoniacal nitrogen, short-chain fatty acids and methane production. All essential oils were tested in four doses (0, 50, 250 and 500 mg/L) in a randomized block design, arranged with four blocks, 10 treatments, four doses and two replicates. Within our study, oregano and white Thyme EO reduced net methane production at 250 mg/L, without affecting substrate degradation. Essential oils from oregano and white thyme have the potential to modify ruminal fermentation and suppress rumen methanogenesis without negative effects on feed digestibility, indicating promise as alternatives to ionophores for methane reduction in beef cattle.Entities:
Keywords: NH3-N; greenhouse gases; methanogenesis; oregano; ruminants; thyme
Mesh:
Substances:
Year: 2022 PMID: 35408626 PMCID: PMC9000866 DOI: 10.3390/molecules27072227
Source DB: PubMed Journal: Molecules ISSN: 1420-3049 Impact factor: 4.411
Chemical composition of substrate used in the in vitro bioassay (g/kg DM).
| Substrate | DM | OM | MM | CP | NDF | ADF |
|---|---|---|---|---|---|---|
| Coast cross hay | 880 | 927 | 73 | 165 | 743 | 42.1 |
ADF, acid detergent fiber; DM, dry matter; CP, crude protein; MM, mineral matter; OM, organic matter; NDF, neutral detergent fiber.
Effects of essential oils on the in vitro dry matter (IVDMD) and organic matter (IVOMD) degradabilities after 24 h of incubation.
| Essential Oils | Doses (mL/g) | M | EPM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
|
| ||||||||
| Star anise | 24.67 | 28.76 | 21.05 | 20.08 | 23.64 | 4.31 | 0.192 | 0.411 |
| Citronella | 24.67 | 28.07 | 21.17 | 31.86 | 26.44 | 5.10 | 0.441 | 0.680 |
| Clove bud | 24.67 | 33.20 | 25.11 | 21.17 | 26.04 | 5.81 | 0.276 | 0.561 |
| Globulus | 24.67 | 28.47 | 27.79 | 26.09 | 26.76 | 4.74 | 0.849 | 0.958 |
| Staigeriana | 24.67 | 28.22 | 24.23 | 23.19 | 25.08 | 5.27 | 0.551 | 0.840 |
| Ginger | 24.67 | 33.92 | 26.09 | 24.64 | 27.33 | 4.61 | 0.365 | 0.674 |
| Ho wood | 24.67 | 27.48 | 26.99 | 27.68 | 26.71 | 4.58 | 0.851 | 0.792 |
| Melaleuca | 24.67 | 28.44 | 31.25 | 23.29 | 26.91 | 5.93 | 0.864 | 0.882 |
| Oregano | 24.67 | 25.45 | 25.47 | 27.07 | 25.66 | 5.52 | 0.438 | 0.736 |
| White thyme | 24.67 | 36.28 | 21.17 | 18.54 | 25.16 | 4.78 | 0.041 1 | 0.136 |
|
| ||||||||
| Star anise | 25.82 | 27.60 | 21.29 | 19.04 | 23.44 | 3.24 | 0.074 | 0.202 |
| Citronella | 25.82 | 27.66 | 21.20 | 19.28 | 23.49 | 3.71 | 0.130 | 0.312 |
| Clove bud | 25.82 | 31.71 | 25.04 | 20.73 | 25.82 | 4.81 | 0.203 | 0.453 |
| Globulus | 25.82 | 28.35 | 27.73 | 24.02 | 26.48 | 3.78 | 0.524 | 0.746 |
| Staigeriana | 25.82 | 28.99 | 24.18 | 23.41 | 25.60 | 4.12 | 0.411 | 0.712 |
| Ginger | 25.82 | 33.01 | 26.84 | 25.01 | 27.67 | 3.47 | 0.298 | 0.588 |
| Ho wood | 25.82 | 28.33 | 31.04 | 24.39 | 27.40 | 3.33 | 0.574 | 0.487 |
| Melaleuca | 25.82 | 28.83 | 31.56 | 24.98 | 27.80 | 4.74 | 0.790 | 0.830 |
| Oregano | 25.82 | 26.30 | 26.34 | 22.71 | 25.29 | 4.27 | 0.162 | 0.324 |
| White thyme | 25.82 | 34.58 | 21.05 | 20.62 | 25.52 | 3.72 | 0.099 | 0.229 |
L = linear effect; M = means; Q = Quadratic effect; SEM = Standard error of the mean. * Equation: 1 y = 32.24 − 0.037x.
Effects of essential oils on the dry matter partition factor (PFDM) and organic matter (PFOM) after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
|
| ||||||||
| Star anise | 2.62 | 3.06 | 2.13 | 2.84 | 2.66 | 0.71 | 0.870 | 0.774 |
| Citronella | 2.62 | 2.89 | 2.04 | 3.44 | 2.75 | 0.79 | 0.518 | 0.497 |
| Clove bud | 2.62 | 4.07 | 2.59 | 2.77 | 3.01 | 0.89 | 0.555 | 0.830 |
| Globulus | 2.62 | 2.78 | 2.26 | 2.79 | 2.61 | 0.60 | 0.990 | 0.965 |
| Staigeriana | 2.62 | 2.93 | 2.19 | 2.25 | 2.50 | 0.64 | 0.460 | 0.718 |
| Ginger | 2.62 | 3.19 | 2.05 | 2.13 | 2.50 | 0.54 | 0.232 | 0.430 |
| Ho wood | 2.62 | 2.68 | 2.43 | 4.18 | 2.98 | 0.72 | 0.166 | 0.342 |
| Melaleuca | 2.62 | 2.46 | 2.45 | 1.99 | 2.38 | 0.50 | 0.783 | 0.946 |
| Oregano | 2.62 | 2.28 | 3.29 | 13.2 | 5.35 | 0.99 | 0.014 1 | 0.025 |
| White thyme | 2.62 | 3.42 | 2.10 | 7.58 | 3.93 | 1.04 | 0.364 | 0.278 |
|
| ||||||||
| Star anise | 2.73 | 2.91 | 2.15 | 2.64 | 2.61 | 0.57 | 0.733 | 0.730 |
| Citronella | 2.73 | 2.83 | 2.04 | 2.99 | 2.65 | 0.60 | 0.721 | 0.554 |
| Clove bud | 2.73 | 3.85 | 2.57 | 2.73 | 2.97 | 0.78 | 0.547 | 0.822 |
| Globulus | 2.73 | 2.76 | 2.54 | 2.58 | 2.65 | 0.50 | 0.762 | 0.941 |
| Staigeriana | 2.73 | 2.98 | 2.16 | 2.25 | 2.53 | 0.52 | 0.347 | 0.578 |
| Ginger | 2.73 | 3.08 | 2.09 | 2.14 | 2.51 | 0.43 | 0.167 | 0.325 |
| Ho wood | 2.73 | 2.76 | 2.81 | 3.65 | 2.99 | 0.55 | 0.263 | 0.491 |
| Melaleuca | 2.73 | 2.51 | 2.49 | 2.15 | 2.47 | 0.43 | 0.840 | 0.953 |
| Oregano | 2.73 | 2.35 | 3.20 | 11.21 | 4.87 | 0.79 | 0.010 2 | 0.016 |
| White thyme | 2.73 | 3.26 | 2.09 | 7.97 | 4.01 | 1.00 | 0.093 | 0.038 3 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean. * Equations: 1 y = 2.21 + 0.008x; 2 y = 2.21 + 0.008x; 3 y = 3.36 − 0.017x + 0.00005x2.
Effects of essential oils on the concentration of ammonia nitrogen (NH3-N, in mg/dL) after 24 h of in vitro incubation.
| Essential Oils | Doses (mg/dL) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 17.08 | 15.59 | 16.44 | 16.67 | 16.45 | 0.63 | 0.439 | 0.747 |
| Citronella | 17.08 | 16.00 | 17.92 | 18.99 | 17.50 | 0.72 | 0.010 1 | 0.041 |
| Clove bud | 17.08 | 16.19 | 17.14 | 17.27 | 16.92 | 0.60 | 0.232 | 0.476 |
| Globulus | 17.08 | 16.10 | 14.72 | 14.51 | 15.60 | 1.46 | 0.355 | 0.616 |
| Staigeriana | 17.08 | 15.67 | 14.91 | 17.41 | 16.27 | 0.86 | 0.391 | 0.192 |
| Ginger | 17.08 | 17.72 | 16.37 | 14.08 | 16.31 | 1.17 | 0.083 | 0.192 |
| Ho wood | 17.08 | 15.93 | 16.32 | 18.77 | 17.03 | 0.64 | 0.009 2 | 0.039 |
| Melaleuca | 17.08 | 14.68 | 15.55 | 16.06 | 15.84 | 1.48 | 0.911 | 0.960 |
| Oregano | 17.08 | 16.80 | 16.60 | 16.33 | 16.70 | 1.02 | 0.698 | 0.903 |
| White thyme | 17.08 | 15.22 | 15.57 | 15.81 | 15.92 | 1.10 | 0.847 | 0.857 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean. * Equations: 1 y = 16.10 + 0.006x; 2 y = 15.47 + 0.0005x.
Effects of essential oils on the total concentration of short chain fatty acids (SCFA, in mM) after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 11.52 | 11.59 | 20.66 | 12.44 | 14.05 | 4.49 | 0.767 | 0.377 |
| Citronella | 11.52 | 9.60 | 24.66 | 12.80 | 14.64 | 5.60 | 0.698 | 0.250 |
| Clove bud | 11.52 | 14.34 | 26.95 | 14.76 | 16.89 | 5.61 | 0.690 | 0.221 |
| Globulus E. | 11.52 | 15.98 | 13.02 | 19.35 | 14.97 | 4.07 | 0.357 | 0.598 |
| Staigeriana E. | 11.52 | 13.41 | 19.38 | 18.79 | 15.77 | 3.43 | 0.170 | 0.274 |
| Ginger | 11.52 | 14.35 | 15.96 | 24.60 | 16.61 | 4.06 | 0.055 | 0.159 |
| Ho wood | 11.52 | 16.69 | 18.98 | 17.32 | 16.13 | 3.59 | 0.494 | 0.702 |
| Melaleuca | 11.52 | 13.58 | 16.05 | 26.22 | 16.84 | 3.78 | 0.297 | 0.582 |
| Oregano | 11.52 | 11.66 | 16.00 | 3.99 | 10.79 | 3.91 | 0.437 | 0.291 |
| White thyme | 11.52 | 10.68 | 16.28 | 17.57 | 14.01 | 7.06 | 0.229 | 0.488 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean.
Effects of essential oils on acetic acid (mM) production after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 7.54 | 7.90 | 14.92 | 8.58 | 9.74 | 3.35 | 0.734 | 0.337 |
| Citronella | 7.54 | 6.62 | 18.61 | 9.54 | 10.58 | 4.29 | 0.410 | 0.211 |
| Clove bud | 7.54 | 10.36 | 20.21 | 9.49 | 11.90 | 4.13 | 0.775 | 0.155 |
| Globulus | 7.54 | 10.50 | 9.32 | 14.09 | 10.36 | 2.93 | 0.240 | 0.476 |
| Staigeriana | 7.54 | 9.48 | 14.72 | 14.13 | 11.47 | 2.55 | 0.111 | 0.166 |
| Ginger | 7.54 | 10.32 | 11.75 | 18.07 | 11.92 | 3.01 | 0.043 1 | 0.134 |
| Ho wood | 7.54 | 11.49 | 14.08 | 11.28 | 11.10 | 2.60 | 0.587 | 0.639 |
| Melaleuca | 7.54 | 9.83 | 11.93 | 19.52 | 12.21 | 2.88 | 0.239 | 0.490 |
| Oregano | 7.54 | 7.98 | 10.77 | 2.27 | 7.14 | 2.56 | 0.376 | 0.222 |
| White thyme | 7.54 | 7.60 | 11.98 | 12.69 | 9.95 | 5.18 | 0.209 | 0.466 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean. * Equation: 1 y = 8.19 + 0.019x.
Effects of essential oils on propionic acid (mM) production after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 2.42 | 2.17 | 3.34 | 1.97 | 2.48 | 0.69 | 0.856 | 0.487 |
| Citronella | 2.42 | 1.71 | 3.45 | 1.37 | 2.24 | 0.82 | 0.617 | 0.325 |
| Clove bud | 2.42 | 2.46 | 4.11 | 2.47 | 2.87 | 0.94 | 0.155 | 0.445 |
| Globulus | 2.42 | 3.17 | 2.09 | 2.99 | 2.67 | 0.70 | 0.918 | 0.793 |
| Staigeriana | 2.42 | 2.36 | 2.66 | 2.59 | 2.51 | 0.55 | 0.766 | 0.939 |
| Ginger | 2.42 | 2.35 | 2.50 | 3.85 | 2.78 | 0.66 | 0.143 | 0.281 |
| Ho wood | 2.42 | 3.08 | 2.88 | 3.62 | 3.00 | 0.65 | 0.346 | 0.643 |
| Melaleuca | 2.42 | 2.31 | 2.35 | 3.46 | 2.64 | 0.57 | 0.873 | 0.977 |
| Oregano | 2.42 | 2.20 | 2.46 | 0.43 | 1.88 | 0.68 | 0.149 | 0.220 |
| White thyme | 2.42 | 1.84 | 2.24 | 2.05 | 2.14 | 0.92 | 0.605 | 0.824 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean.
Effects of essential oils on butyric acid (mM) production after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 1.14 | 1.14 | 1.80 | 1.51 | 1.40 | 0.39 | 0.445 | 0.513 |
| Citronella | 1.14 | 0.96 | 2.01 | 1.45 | 1.39 | 0.44 | 0.473 | 0.379 |
| Clove bud | 1.14 | 1.15 | 1.85 | 1.91 | 1.51 | 0.42 | 0.177 | 0.355 |
| Globulus | 1.14 | 1.37 | 1.23 | 1.77 | 1.38 | 0.36 | 0.335 | 0.572 |
| Staigeriana | 1.14 | 1.19 | 1.51 | 1.63 | 1.37 | 0.31 | 0.265 | 0.525 |
| Ginger | 1.14 | 1.28 | 1.30 | 2.04 | 1.44 | 0.35 | 0.114 | 0.248 |
| Ho wood | 1.14 | 1.57 | 1.58 | 2.05 | 1.59 | 0.37 | 0.195 | 0.419 |
| Melaleuca | 1.14 | 1.11 | 1.37 | 2.65 | 1.57 | 0.35 | 0.269 | 0.554 |
| Oregano | 1.14 | 1.12 | 2.10 | 1.23 | 1.40 | 0.66 | 0.501 | 0.540 |
| White thyme | 1.14 | 0.93 | 1.52 | 2.68 | 1.57 | 0.93 | 0.117 | 0.235 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean.
Effects of essential oils on the ratio of acetic and propionic acids after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | p-Value | ||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 3.09 | 3.49 | 4.21 | 4.40 | 3.80 | 0.47 | 0.377 | 0.094 |
| Citronella | 3.09 | 3.62 | 5.23 | 6.76 | 4.67 | 0.51 | 0.001 1 | 0.001 |
| Clove bud | 3.09 | 4.08 | 4.83 | 3.60 | 3.90 | 0.50 | 0.628 | 0.079 |
| Globulus | 3.09 | 3.28 | 4.60 | 4.58 | 3.89 | 0.46 | 0.022 2 | 0.027 |
| Staigeriana | 3.09 | 4.10 | 5.32 | 5.44 | 4.49 | 0.46 | 0.008 3 | 0.006 |
| Ginger | 3.09 | 4.09 | 4.82 | 4.65 | 4.16 | 0.42 | 0.049 4 | 0.029 |
| Ho wood | 3.09 | 3.75 | 4.87 | 3.27 | 3.74 | 0.51 | 0.805 | 0.205 |
| Melaleuca | 3.09 | 4.24 | 4.93 | 5.43 | 4.42 | 0.59 | 0.047 5 | 0.080 |
| Oregano | 3.09 | 4.76 | 4.41 | 4.79 | 4.26 | 0.48 | 0.052 6 | 0.112 |
| White thyme | 3.09 | 3.26 | 4.86 | 5.03 | 4.06 | 0.59 | 0.058 7 | 0.113 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean. * Equations: 1 y = 3.10 + 0.008x; 2 y = 3.07 + 0.004x; 3 y = 3.50 + 0.005x; 4 y = 3.52 + 0.003x; 5 y = 3.51 + 0.004x; 6 y = 3.15 + 0.004x; 7 y = 2.89 + 0.005x.
Effects of essential oils on the production of total gases (mL/g DM) after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
| Star anise | 96.65 | 101.19 | 102.05 | 81.66 | 95.39 | 7.95 | 0.137 | 0.204 |
| Citronella | 96.65 | 102.41 | 103.87 | 73.11 | 94.01 | 6.37 | 0.008 1 | 0.006 |
| Clove bud | 96.65 | 88.06 | 98.55 | 82.87 | 91.53 | 7.20 | 0.342 | 0.475 |
| Globulus | 96.65 | 104.99 | 110.60 | 99.63 | 102.97 | 7.42 | 0.890 | 0.571 |
| Staigeriana | 96.65 | 101.44 | 116.40 | 107.23 | 105.43 | 6.21 | 0.370 | 0.230 |
| Ginger | 96.65 | 111.48 | 134.76 | 120.39 | 115.82 | 10.21 | 0.266 | 0.139 |
| Ho wood | 96.65 | 104.36 | 111.84 | 72.86 | 96.43 | 6.46 | 0.026 2 | 0.008 |
| Melaleuca | 96.65 | 119.49 | 129.24 | 118.27 | 115.91 | 9.64 | 0.549 | 0.272 |
| Oregano | 96.65 | 114.39 | 87.00 | 23.93 | 80.49 | 10.32 | 0.001 3 | 0.002 |
| White thyme | 96.65 | 108.92 | 104.20 | 26.55 | 84.08 | 8.60 | 0.009 4 | 0.001 |
L = linear effect; M = means; Q = Quadratic effect; SEM = Standard error of the mean; TGP = Total gas production. * Equations: 1 y = 110.49 − 0.064x; 2 y = 107.56 − 0.057x; 3 y = 112.70 − 0.151x; 4 y = 114.65 − 0.128x.
Effects of essential oils on methane production after 24 h of in vitro incubation.
| Essential Oils | Doses (mL/g) | M | SEM | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 50 | 250 | 500 | L | Q | |||
|
| ||||||||
| Star anise | 6.92 | 8.13 | 9.01 | 7.52 | 7.90 | 0.64 | 0.699 | 0.344 |
| Citronella | 6.92 | 7.96 | 10.3 | 7.26 | 8.11 | 0.42 | 0.584 | 0.001 1 |
| Clove bud | 6.92 | 7.90 | 9.50 | 6.40 | 7.68 | 0.78 | 0.332 | 0.082 |
| Globulus | 6.92 | 8.55 | 9.87 | 9.57 | 8.73 | 0.62 | 0.120 | 0.141 |
| Staigeriana | 6.92 | 8.45 | 10.93 | 11.43 | 9.43 | 0.45 | 0.001 2 | 0.001 |
| Ginger | 6.92 | 8.16 | 10.79 | 10.89 | 9.19 | 0.45 | 0.001 3 | 0.001 |
| Ho wood | 6.92 | 8.05 | 9.42 | 5.18 | 7.39 | 0.59 | 0.046 4 | 0.003 |
| Melaleuca | 6.92 | 9.13 | 11.30 | 9.95 | 9.32 | 0.50 | 0.171 | 0.006 5 |
| Oregano | 6.92 | 9.23 | 6.63 | 0.17 | 5.74 | 0.93 | 0.001 6 | 0.001 |
| White thyme | 6.92 | 9.05 | 8.53 | 0.57 | 6.27 | 0.48 | 0.003 7 | <0.0001 |
|
| ||||||||
| Star anise | 67.81 | 81.04 | 177.24 | 102.40 | 107.12 | 52.52 | 0.645 | 0.440 |
| Citronella | 67.81 | 69.39 | 125.12 | 117.62 | 94.99 | 35.16 | 0.350 | 0.542 |
| Clove bud | 67.81 | 65.73 | 113.40 | 92.28 | 84.81 | 25.39 | 0.471 | 0.540 |
| Globulus | 67.81 | 84.53 | 85.02 | 101.79 | 84.79 | 19.11 | 0.418 | 0.722 |
| Staigeriana | 67.81 | 79.98 | 129.02 | 131.32 | 102.03 | 31.04 | 0.196 | 0.373 |
| Ginger | 67.81 | 54.12 | 130.35 | 109.89 | 90.54 | 30.75 | 0.250 | 0.350 |
| Ho wood | 67.81 | 66.03 | 128.45 | 72.47 | 83.69 | 23.75 | 0.957 | 0.995 |
| Melaleuca | 67.81 | 107.53 | 106.01 | 82.60 | 90.99 | 33.20 | 0.925 | 0.855 |
| Oregano | 67.81 | 86.84 | 131.71 | 3.92 | 72.57 | 39.70 | 0.426 | 0.184 |
| White thyme | 67.81 | 57.19 | 118.88 | 35.75 | 69.91 | 31.47 | 0.873 | 0.388 |
L = Linear effect; M = Means; Q = Quadratic effect; SEM = Standard error of the mean. * Equations: 1 y = 7.63 + 0.021x − 0.00004x2; 2 y = 8.32 + 0.007x; 3 y = 8.18 + 0.006x; 4 y = 8.66 − 0.005x; 5 y = 7.98 + 0.024x − 0.00004x2; 6 y = 9.31 − 0.016x; 7 y = 9.53 − 0.013x.