Camila uses 13 gallons of gas to drive 252.2 miles in her car. Find the rate of change.
Understand the Problem
The question is asking to calculate the rate of change in miles per gallon, based on the distance driven and the amount of gas used. We will find this by dividing the total miles driven by the gallons of gas used.
Answer
$19.4$ miles per gallon.
Answer for screen readers
The rate of change is approximately $19.4$ miles per gallon.
Steps to Solve
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Identify the values given Camila has driven a total distance of 252.2 miles and used 13 gallons of gas.
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Set up the equation for miles per gallon (MPG) To find the rate of change in miles per gallon, we will use the formula: $$ \text{MPG} = \frac{\text{Total miles driven}}{\text{Gallons of gas used}} $$
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Substitute the values into the equation Insert the provided values into the formula: $$ \text{MPG} = \frac{252.2 \text{ miles}}{13 \text{ gallons}} $$
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Calculate the result Perform the division to find the miles per gallon: $$ \text{MPG} = \frac{252.2}{13} \approx 19.4 \text{ miles per gallon} $$
The rate of change is approximately $19.4$ miles per gallon.
More Information
Camila's car gets about 19.4 miles for each gallon of gas, which is a measure of fuel efficiency. This calculation helps drivers understand how far they can go on a tank of gas and can influence decisions about fuel consumption and vehicle maintenance.
Tips
- Incorrect Division: Sometimes people may miscalculate the division. It's important to double-check the division to avoid errors.
- Forgetting Units: Ensure to include the units (miles per gallon) in your answer for clarity.
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