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Question:

John’s Gym charges its members according to the equation c = 40m where m is the number of months and c represents the total cost to each customer after m months. Ralph’s Recreation Room charges its members according to the equation c=45m. What relationship can be determined about the monthly cost to the members of each company?

A John’s monthly membership fee is less than Ralph’s monthly membership fee.
Explaination

In both equations, the coefficient of is the rate of change. In this problem, the rate of change represents the customer’s monthly cost. Therefore the customers at John’s Gym pay $40 per month, and the customers at Ralph’s Recreation Room pay $45 per month. Thus, John’s monthly membership fee is less than Ralph’s monthly membership fee.