We have been given an equation [tex]w=\frac{3}{2}t-1[/tex] 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 [tex]w=7[/tex] in our given equation as:
[tex]7=\frac{3}{2}t-1[/tex]
Let us solve for t.
[tex]7+1=\frac{3}{2}t-1+1[/tex]
[tex]8=\frac{3}{2}t[/tex]
[tex]8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t[/tex]
[tex]\frac{8\cdot2}{3}=t[/tex]
[tex]\frac{16}{3}=t[/tex]
Therefore, it will take [tex]\frac{16}{3}[/tex] hours Joe to paint 7 walls.
