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 =

Constant = 11.5

y = 11.5x.

Step-by-step 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.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

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step-by-step