Ethan is measuring distances for his upcoming bike ride. He records the distance he rides in miles and the equivalent distance in feet. (7.RP.2b) (2 pts) The table represents the distance of his rides: (1 point) Determine the constant of proportionality. COP = Question 2 If Ethan rides 5 miles, how many feet would he have ridden?(1 point) Responses 26,400 feet 26,400 feet 24,000 feet 24,000 feet 30,000 feet 30,000 feet 22,000 feet

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 days ago

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:

  1. 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:

    \[ \text{COP} = \frac{\text{feet}}{\text{miles}} = \frac{5280 \text{ feet}}{1 \text{ mile}} = 5280 \]

  2. 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.