Question

Phil is riding his bike. He rides 23 miles in 2 hours, 34.5 miles in 3 hours, and 46 miles in 4 hours. Find the

constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =

Answer 1

I mean... at least he is fit-

Answer 2

Answer: Constant = 11.5

y = 11.5x.

Explanation:

This is direct variation so the equation of proportionality is

y = kx where y = miles, x = hours and k is a constant.

23 = 2k

k = 11.5

34.5 = 3k

k = 11.5

46 = 4k

k = 11.5

The equation is my= 11.5x.