Question one-ga

1.1 Linear Functions - Rate of change applications
0:00

One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w  square feet. Which equation represents the total amount of paint P , in gallons, needed to paint the walls of the room twice?

A.

P = w 110

B.

P = 440 w

C.

P = w 220

D.

P = 220 w

One gallon of paint will cover 220 square feet of a surface. A room has a

Hard-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It's given that w represents the total wall area, in square feet. Since the walls of the room will be painted twice, the amount of paint, in gallons, needs to cover 2 w square feet. It’s also given that one gallon of paint will cover 220 square feet. Dividing the total area, in square feet, of the surface to be painted by the number of square feet covered by one gallon of paint gives the number of gallons of paint that will be needed. Dividing 2 w by 220 yields  2w220, or w110. Therefore, the equation that represents the total amount of paint P , in gallons, needed to paint the walls of the room twice is P=w110.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from finding the amount of paint needed to paint the walls once rather than twice.

Choice D is incorrect and may result from conceptual or calculation errors.