To determine how much farther Camden's car can travel on one gallon of gas than Wyatt's car, we first need to calculate the miles per gallon (mpg) for each friend based on the data provided.
For Camden:
From the points given, we can determine what Camden's car does with respect to gallons:
- For 5 gallons, Camden can drive 5,186.5 miles.
- For 10 gallons, Camden can drive 10,373 miles.
To find the miles per gallon for Camden:
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At 5 gallons: \[ \text{Miles per gallon} = \frac{5,186.5 \text{ miles}}{5 \text{ gallons}} = 1,037.3 \text{ miles/gallon} \]
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At 10 gallons: \[ \text{Miles per gallon} = \frac{10,373 \text{ miles}}{10 \text{ gallons}} = 1,037.3 \text{ miles/gallon} \]
Camden's car can travel approximately 1,037.3 miles per gallon.
For Wyatt:
Now, let's calculate the miles per gallon for Wyatt using the data provided:
- At 5 gallons: 153 miles
- At 7 gallons: 214.2 miles
- At 10 gallons: 306 miles
- At 14 gallons: 428.4 miles
Calculating mpg for Wyatt:
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At 5 gallons: \[ \text{Miles per gallon} = \frac{153 \text{ miles}}{5 \text{ gallons}} = 30.6 \text{ miles/gallon} \]
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At 7 gallons: \[ \text{Miles per gallon} = \frac{214.2 \text{ miles}}{7 \text{ gallons}} \approx 30.6 \text{ miles/gallon} \]
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At 10 gallons: \[ \text{Miles per gallon} = \frac{306 \text{ miles}}{10 \text{ gallons}} = 30.6 \text{ miles/gallon} \]
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At 14 gallons: \[ \text{Miles per gallon} = \frac{428.4 \text{ miles}}{14 \text{ gallons}} \approx 30.6 \text{ miles/gallon} \]
Wyatt's car can travel approximately 30.6 miles per gallon.
Conclusion:
Now we can find out how much farther Camden's car can travel on one gallon of gas compared to Wyatt's car: \[ \text{Difference} = \text{Camden's mpg} - \text{Wyatt's mpg} = 1,037.3 \text{ mpg} - 30.6 \text{ mpg} = 1,006.7 \text{ miles} \]
Thus, Camden's car can travel 1,006.7 miles farther on one gallon of gas than Wyatt's car.
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