How many miles would Jason drive on 14 gallons?
Understand the Problem
The question asks for the number of miles Jason would drive using 14 gallons, given that the number of miles is directly proportional to the gallons used. We will find the miles per gallon from the data and use that ratio to calculate the expected miles for 14 gallons.
Answer
$261.8$ miles
Answer for screen readers
Jason would drive approximately $261.8$ miles using 14 gallons.
Steps to Solve
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Calculate the Miles per Gallon To find the miles per gallon, we can use any of the given data points. Let's calculate it using the first row of the table: $$ \text{Miles per gallon} = \frac{\text{Number of Miles}}{\text{Number of Gallons}} = \frac{168.3}{9} $$
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Compute the Value Now we compute the miles per gallon: $$ \text{Miles per gallon} = \frac{168.3}{9} \approx 18.7 $$
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Use the Miles per Gallon to Find Miles for 14 Gallons Now that we have the miles per gallon, we can find how many miles Jason would drive using 14 gallons: $$ \text{Miles} = 14 \text{ gallons} \times 18.7 \text{ miles/gallon} $$
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Calculate the Total Miles Now, we calculate the total miles driven with 14 gallons: $$ \text{Miles} = 14 \times 18.7 \approx 261.8 $$
Jason would drive approximately $261.8$ miles using 14 gallons.
More Information
This problem showcases the concept of direct proportionality, where the number of miles driven increases linearly with the amount of fuel used. This situation can be observed in various real-life scenarios, such as fuel efficiency in vehicles.
Tips
- Forgetting to divide miles by gallons to find the correct miles per gallon.
- Mixing up the gallons and miles when using the formula.
- Not applying the constant ratio correctly when calculating for a different number of gallons.
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