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=8x+28
c.y=−8x+28
d. y=28−8x

Answer 1

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

Step-by-step explanation:

The correct equation for the relationship between the area left to paint (y) and the number of hours (x) is:

y = 8x + 28

To understand this equation, let's break it down:

The coefficient of x (8) represents the rate at which Hiro can paint, which is 8 square meters per hour.

1. The variable x represents the number of hours Hiro has been painting.
2. The constant term 28 represents the initial amount of area left to paint.

By substituting the given values, we can verify that after 3 hours of painting, Hiro has 28 square meters left to paint:
y = 8(3) + 28 = 24 + 28 = 52 square meters