To find out how many more miles per gallon Gabi can go using Good Gas compared to Go Gas, we first need to calculate the miles per gallon (MPG) for each gas brand based on the provided data.
Go Gas
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For 5.5 gallons and 170.5 miles: \[ \text{MPG} = \frac{170.5}{5.5} \approx 31.0 \text{ MPG} \]
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For 10.2 gallons and 316.2 miles: \[ \text{MPG} = \frac{316.2}{10.2} \approx 31.0 \text{ MPG} \]
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For 12.0 gallons and 372.0 miles: \[ \text{MPG} = \frac{372.0}{12.0} = 31.0 \text{ MPG} \]
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For 14.5 gallons and 449.5 miles: \[ \text{MPG} = \frac{449.5}{14.5} \approx 31.0 \text{ MPG} \]
Average MPG for Go Gas: \[ \text{Average MPG} \approx 31.0 \text{ MPG} \]
Good Gas
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For 3.75 gallons and 127.5 miles: \[ \text{MPG} = \frac{127.5}{3.75} = 34.0 \text{ MPG} \]
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For 9.4 gallons and 319.6 miles: \[ \text{MPG} = \frac{319.6}{9.4} \approx 34.0 \text{ MPG} \]
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For 12.6 gallons and 428.4 miles: \[ \text{MPG} = \frac{428.4}{12.6} \approx 34.0 \text{ MPG} \]
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For 16.0 gallons and 544.0 miles: \[ \text{MPG} = \frac{544.0}{16.0} = 34.0 \text{ MPG} \]
Average MPG for Good Gas: \[ \text{Average MPG} \approx 34.0 \text{ MPG} \]
Comparison
Now, we can determine the difference in miles per gallon: \[ \text{Difference} = \text{Good Gas MPG} - \text{Go Gas MPG} = 34.0 - 31.0 = 3.0 \text{ MPG} \]
Conclusion
Gabi can go 3 more miles per gallon if she uses Good Gas instead of Go Gas.
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