Question

Mack orders x cans of paint and y floor tiles for a construction project. The equation 24.99x + 7.99y = $227.80 represents the amount of money he spent on paint and floor tiles. One solution to the equation is (4, 16). What does this solution represent?

a. Mack bought 4 floor tiles and 16 cans of paint.
b. Mack bought 4 cans of paint and 16 floor tiles.
c. A can of paint costs $4, and floor tiles cost $16 each.
d. Floor tiles cost $4 each, and a can of paint costs $16.

Answer 1

The solution (4, 16) given in the equation represents Mack buying 4 cans of paint and 16 floor tiles, amounting to the total cost of $227.80.

Step-by-step explanation:

The student is learning about linear equations, where the equation 24.99x + 7.99y = $227.80 denotes the amount of money spent by Mack on x cans of paint and y floor tiles. The solution (4, 16) to this equation signifies that Mack bought 4 cans of paint and 16 floor tiles. This interpretation comes from assigning the value of 'x' as 4 and 'y' as 16, and when these values are plugged into the equation, they satisfy the total cost of $227.80.