Question

Scott runs a gym that sells memberships. He wants to ensure he has more than 1 treadmill for every five customers he has in the gym. He currently has 8 treadmills and wants to know how many customers he can have in the gym. Write and solve an inequality to solve this problem. What is the solution to the inequality?

A)C>40
B)C<40
C)C≥40
D)C≤40

Answer 1

Scott can have fewer than 40 customers in his gym to maintain a ratio of having more than 1 treadmill for every 5 customers, resulting in the inequality C < 40.

Step-by-step explanation:

The question is asking us to find the largest number of customers Scott can have in his gym while maintaining a ratio of having more than 1 treadmill for every 5 customers. To express this as an inequality, let C represent the number of customers. The inequality will be 8 > C/5, since Scott has 8 treadmills and wants more than 1 treadmill per 5 customers.

Multiplying both sides of the inequality by 5 to solve for C gives us: 40 > C, which means that Scott can have fewer than 40 customers in the gym at one time to maintain the desired ratio of treadmills to customers.

The correct answer to this inequality problem is B) C < 40.