To solve for the constant of proportionality and the distance Ethan would ride in feet when he rides 5 miles, let's go through the steps:
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Determine the Constant of Proportionality (COP): A mile is equivalent to 5,280 feet. Therefore, to find the COP from miles to feet, we can calculate:
\[ \text{COP} = \frac{\text{feet}}{\text{miles}} = \frac{5280 \text{ feet}}{1 \text{ mile}} = 5280 \]
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Calculate the distance if Ethan rides 5 miles: Using the constant of proportionality, we can find out how many feet correspond to 5 miles:
\[ \text{Distance in feet} = \text{miles} \times \text{COP} \] \[ \text{Distance in feet} = 5 \text{ miles} \times 5280 \text{ feet/mile} = 26400 \text{ feet} \]
Final Answers:
- The constant of proportionality (COP) is 5280.
- If Ethan rides 5 miles, he would have ridden 26,400 feet.
The correct response to the question about how many feet he would have ridden is 26,400 feet.