Question

A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed. The relationship between the total cost for labor and the amount of carpet installed is

Answer 1

Answer: Proportional

Explanation:

Given : A flat rate charged by the carpet installer = $40

On addition to that , he charges $1.50 per square foot for labor.

Then , Total cost of carpet= Fixed rate of $40 + $1.50 per square foot for labor.

Let x be the area of the carpet in square feet.

Then, the total cost ( in $)= 40 +1.50x , which is a linear function with slope 1.50.

According to the definition of linear function , we have

A linear function is in the form of
`y=mx+c` , it shows that the relationship between x and y is proportional.

That means , The relationship between the total cost for labor and the amount of carpet installed is proportional.

Answer 2

The total cost will be $40 plus $1.50 per square foot of carpet or $40+$1.50x