Question

Pipe cost $3 per foot. The equation y = 3x relates the cost of a piece of pipe (y) to the number of feet (X). Identify the unit rate

in the equation.

Answer 1

The unit rate is 3 $/ft

Answer 2

The unit rate is
`3(\$)/(ft)`

Explanation:

Let

x ----> the number of feet

y ----> represent the cost of a piece of pipe

we have

`y=3x`

Remember that

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

In this problem we have a proportional relationship

The unit rate is the same that the slope of the linear function or the constant of proportionality k

so

`m=k=3(\$)/(ft)`

therefore

The unit rate is
`3(\$)/(ft)`