Rasheed is contemplating whether to buy a membership for a trampoline park, which is $50 a year. As a

member, Rasheed receives a 15% discount on jump tickets. If the non-membership price for a jump ticket is $12

per hour, for how many hours does Rasheed need to jump in order for the cost of buying jump tickets at the

non-membership price?

Answer: 28 hours

Step-by-step explanation:

Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).

Cost without membership = 12h

With the membership the price of each jump ticket has a 15% discount (so, 100-15 = 85% of the total price). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)

Cost with membership = 50 + 12 (0.85) h

If both cost are equal:

50 + 12 (0.85) h = 12 h

Solving for h

50+10.2h = 12h

50 = 12h-10.2h

50 = 1.8h

50/1.8 = h

27.78 = h

h = 28 (rounded)