Question

André rode his bike at a constant speed, covering 1 mile in 5 minutes. What is the equation of the proportional relationship representing the time t (in minutes) it takes Andre to ride a distance of miles?

a. t = 5m
b. t = m/5
c. t = 5/m
d. t = 5m^2

Answer 1

The equation representing the proportional relationship between the distance ridden by André and time is t = 5m, where m is the number of miles and t is the time in minutes.

Step-by-step explanation:

The equation of the proportional relationship representing the time it takes Andre to ride a distance of m miles is t = m/5 (option b).

To find this equation, we can use the given information that Andre covers 1 mile in 5 minutes. Let's denote the distance as d and the time as t. We can set up a proportion: 1 mile / 5 minutes = d miles / t minutes.

To solve for t, we can cross multiply: 1 * t = 5 * d. Simplifying, we get t = 5d. Therefore, the equation of the proportional relationship is t = m/5.