Question

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Answer 1

`m=55h`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

`k=55\ (miles)/(hour)` ----> the speed

substitute

`m=55h`