Question

Zack wants to make a profit more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies 32.50 for each room. Which inequality and solution represents the dollar amount, n, that Zack must be paid for each room if he makes a profit of more than $300

Answer 1

Profit = paid - supplies

Plug in the given values. We are finding out how much money he needs per room, if he is doing 4 rooms, and subtracting the supplies: 300 = 4n - 4*32.50

Simplify: 300 = 4n - 130

Add 130 to each side. 430 = 4n

Divide by 4 on each side: 107.50= n

300 = 4(107.50) - 130? True

This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.