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).

Answer 1

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

Explanation:

The missing question is: "What is the Functions formula A(t)=?"

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

According to the data given in the exercise, you know that:

-
`A(t)` represents the area to paint the Hiros' romm as a function of time.

- The rate he painted the room was 8 square meters per hour.

- The area left to paint after 3 hours was 28 m².

Therefore, based on this, you can idenfity that:

1. The slope of the line is:

`m=-8`

2. One of the point on the line is:

`(3,28)`

So you must substitute the slope and the coordinates of that point into
`y=mx+b` and then solve for "b" in order to find its value:

`28=-8(3)+b\\\\28+24=b\\\\b=52`

Therefore, you can determine that the function
`A(t)` is:

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