Question

Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. Let A(t) denote the area to paint A (measured in square meters) as a function of time t (measured in hours). What is the Functions formula? A(t)=?

Answer 1

`A(t)=-8t+52`

Explanation:

Let

A(t)------> the area to paint

t------> the time in hours

Step 1

Find the total area of the room

`A=8*3+28=52\ m^(2)`

Step 2

Find the linear equation that represent the situation

`A(t)=-8t+52`

Answer 2

8*3 = 24 + 28 = 52 total square feet

he is painting at 8 sq m per hour

so A(t) = -8t +52