Question

An interior designer has 13 gallons of paint to cover 5,993 square feet of wall space. Which of the following rates best represents the relationship between the number of square feet and the number of gallons of paint?A. 461 gallons per square footB. 5,993 square feet per gallonC. 461 square foot per gallonD. 13 gallons per square foot

Answer 1

When we talk about rates, we can see them as a fraction to.

So, if we have 5993 square feet and 13 gallons, the rate can be written as the amount of square feet divided by the amount of gallons:

$\frac{5993\, square\, feet}{13\, gallons}$

This can be simplifyed to:

$\frac{461\, square\, feet}{1\, gallon}$

Which is the same as saying:

"461 square feet per gallon"

This is alternative C.