To determine how many more miles per gallon Gabi can go using Good Gas compared to Go Gas, we need to calculate the miles per gallon for each gas brand based on the provided data.
Go Gas:
- For 5.5 gallons: \(\frac{170.5 \text{ miles}}{5.5 \text{ gallons}} \approx 31.0 \text{ miles per gallon}\)
- For 10.2 gallons: \(\frac{316.2 \text{ miles}}{10.2 \text{ gallons}} \approx 31.0 \text{ miles per gallon}\)
- For 12.0 gallons: \(\frac{372.0 \text{ miles}}{12.0 \text{ gallons}} = 31.0 \text{ miles per gallon}\)
- For 14.5 gallons: \(\frac{449.5 \text{ miles}}{14.5 \text{ gallons}} \approx 31.0 \text{ miles per gallon}\)
Average for Go Gas: \[ \text{Average} = \frac{31.0 + 31.0 + 31.0 + 31.0}{4} = 31.0 \text{ miles per gallon} \]
Good Gas:
- For 3.75 gallons: \(\frac{127.5 \text{ miles}}{3.75 \text{ gallons}} = 34.0 \text{ miles per gallon}\)
- For 9.4 gallons: \(\frac{319.6 \text{ miles}}{9.4 \text{ gallons}} \approx 34.0 \text{ miles per gallon}\)
- For 12.6 gallons: \(\frac{428.4 \text{ miles}}{12.6 \text{ gallons}} \approx 34.0 \text{ miles per gallon}\)
- For 16.0 gallons: \(\frac{544.0 \text{ miles}}{16.0 \text{ gallons}} = 34.0 \text{ miles per gallon}\)
Average for Good Gas: \[ \text{Average} = \frac{34.0 + 34.0 + 34.0 + 34.0}{4} = 34.0 \text{ miles per gallon} \]
Difference in miles per gallon: \[ 34.0 \text{ miles per gallon (Good Gas)} - 31.0 \text{ miles per gallon (Go Gas)} = 3.0 \text{ miles per gallon} \]
Thus, Gabi can go 3.0 more miles per gallon if she uses gas from Good Gas for her car.
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