Question

Phil is riding his bike. He rides 27 miles in 2 hours, 40.5 miles in 3 hours, and 54 miles in 4 hours. Find the constant of proportionality and write an equation to describe the situation. Let x represent the number of hours.

a) The constant of proportionality is k = 13.5
b) The constant of proportionality is k = 9
c) The constant of proportionality is k = 6.75
d) The constant of proportionality is k = 4.5

Answer 1

The constant of proportionality is 13.5. The equation to describe the situation is d = 13.5x.

Step-by-step explanation:

The constant of proportionality can be found by dividing the distance by the time for each given situation. For example, for the first situation where Phil rides 27 miles in 2 hours, the constant of proportionality is 27/2 = 13.5 miles per hour.

Therefore, the correct option is a) The constant of proportionality is k = 13.5. To write an equation to describe the situation, we can use the formula d = kx, where d is the distance, k is the constant of proportionality, and x is the number of hours. So the equation would be d = 13.5x