Question

A bicyclist rides 25 miles every 2 hours during a race.Which equation represents the relationship between the number of miles and the number of hours the bicyclist rides? Let x represent thenumber of hours, and let y represent the number of miles.A. y = 0.08xB. y = 2xC. y = 12.5xD. y = 25xE. y = 50x

Answer 1

y = 12.5x (option C)

Step-by-step explanation:

Let x represent the number of hours

let y represent the number of miles

The relationship between the number of miles and the number of hours:

y = kx

where k = constant

when the bicyclist rides 25 miles every 2 hours during a race:

y = 25miles, x = 2hours

Inserting the values in our relationship:

25 = k(2)

k = 25/2

We insert the value of k in the equation: y = kx

The relationship between the number of miles and the number of hours the bicyclist rides becomes:

y = 25/2 (x)

y = 12.5x (option C)