Question

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours. Complete the equation for the relationship between the area and the number of hours.

a) y = 8x - 28
b) y = 24 - 8x
c) y = 28 - 8x
d) y = 8x + 28

Answer 1

The equation for the relationship between the area left to paint and the number of hours is a) y = 8x - 28.

Step-by-step explanation:

To find the equation for the relationship between the area left to paint and the number of hours, we can use the given information. After 3 hours of painting at a rate of 8 square meters per hour, Hiro had 28 square meters left to paint. We can represent the area left to paint after x hours as y.

Since Hiro paints at a rate of 8 square meters per hour, the area painted after x hours is 8x. Hence, the equation for the relationship between the area and the number of hours is y = 8x - 28. Therefore, option a) y = 8x - 28 is the correct choice.