Question

Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last month Molly purchased 4 movie tickets and earned $17. Part A: Create an equation that will determine the number of books she purchased. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many books did Molly purchase last month? (1 point)

Answer 1

r(m,b)=0.25m+2b  (rebate as a function of movie tickets, m, and books, b.

r(4,b)=0.25(4)+2b=17

1+2b=17 subtract 1 from both sides

2b=16  divide both sides by 2

b=8.

So Molly purchased 8 books last month.