Black Diamond Ski Resort charges $50 for ski rental and $15 an hour to ski. Bunny Hill Ski Resort charges $75 for ski rental and $10 an hour to ski.

Question

Create an equation to determine at what point the cost of both ski slopes is the same.

A: 15x − 75 = 10x − 50

B: 15x − 50 = 10x − 75

C 15x + 50 = 10x + 75

D: 15x + 75 = 10x + 50

Answer 1

x = number of hours skiing

Black diamond cost: 50 + 15x

Bunny hill cost: 75 +10x

Costs are the same when 50 + 15x = 75 + 10x. The correct answer is C.