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.

Answer 1

We have been given an equation $w=\frac{3}{2}t-1$ 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:

$7=\frac{3}{2}t-1$

Let us solve for t.

$7+1=\frac{3}{2}t-1+1$

$8=\frac{3}{2}t$

$8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t$

$\frac{8\cdot2}{3}=t$

$\frac{16}{3}=t$

Therefore, it will take $\frac{16}{3}$ hours Joe to paint 7 walls.