Question

5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?​

Answer 1

y = 72x

324miles

Explanation:

Given parameters:

Speed of the car = 72miles/hr

distance = y

time = xhrs

Unknown:

Write a direct variation equation for the distance= ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

A direct variation is a linear equation.

It often takes the form y = kx

For this problem;

Distance = speed x time

input the parameters;

y = 72x

The direct variation equation is y = 72x

B. Distance traveled in 4.5hrs

y = 72x

x is the time taken;

So;

y = 72 x 4.5 = 324miles