To determine how many more miles per gallon Gabi can go with Good Gas compared to Go Gas, we need to calculate the miles per gallon (MPG) for both gas brands from the data provided.
For Go Gas:
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\( \text{Gallons: } 5.5, \text{ Miles: } 170.5 \) \[ \text{MPG} = \frac{170.5}{5.5} \approx 31.00 \]
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\( \text{Gallons: } 10.2, \text{ Miles: } 316.2 \) \[ \text{MPG} = \frac{316.2}{10.2} \approx 31.00 \]
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\( \text{Gallons: } 12.0, \text{ Miles: } 372.0 \) \[ \text{MPG} = \frac{372.0}{12.0} = 31.00 \]
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\( \text{Gallons: } 14.5, \text{ Miles: } 449.5 \) \[ \text{MPG} = \frac{449.5}{14.5} \approx 31.00 \]
Average MPG for Go Gas: \[ \text{Average MPG} = 31.00 \]
For Good Gas:
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\( \text{Gallons: } 3.75, \text{ Miles: } 127.5 \) \[ \text{MPG} = \frac{127.5}{3.75} = 34.00 \]
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\( \text{Gallons: } 9.4, \text{ Miles: } 319.6 \) \[ \text{MPG} = \frac{319.6}{9.4} \approx 34.00 \]
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\( \text{Gallons: } 12.6, \text{ Miles: } 428.4 \) \[ \text{MPG} = \frac{428.4}{12.6} \approx 34.00 \]
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\( \text{Gallons: } 16.0, \text{ Miles: } 544.0 \) \[ \text{MPG} = \frac{544.0}{16.0} = 34.00 \]
Average MPG for Good Gas: \[ \text{Average MPG} = 34.00 \]
Calculating the difference in MPG: \[ 34.00 - 31.00 = 3.00 \]
Thus, Gabi can go 3 more miles per gallon if she uses gas from Good Gas for her car.
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