Question

The number of walls, w, that Joe can paint in t hours is given by the equation w=32t−1. Answer the questions below.

​How many hours will it take Joe to paint 7 walls?​

A

16/3

B

5.7

C

4.8

D

173

Answer 1

We have been given an equation
`w=(3)/(2)t-1` that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.

To solve our given problem, we will substitute
`w=7` in our given equation as:

`7=(3)/(2)t-1`

Let us solve for t.

`7+1=(3)/(2)t-1+1`

`8=(3)/(2)t`

`8\cdot(2)/(3)=(2)/(3)\cdot(3)/(2)t`

`(8\cdot2)/(3)=t`

`(16)/(3)=t`

Therefore, it will take
`(16)/(3)` hours Joe to paint 7 walls.