Question

For a gym membership, (m), Suzy paid $12 a month. She also paid $2 for each group exercise class, (c), during the month. Write an equation to model the amount of her membership for one month, and solve the equation for c.

A. m = 12 + 2c
B. m = 12 - 2c
C. m = 12 * c
D. m = 12 / c

Answer 1

The correct equation to represent Suzy's gym membership cost is A. m = 12 + 2c, which shows the total monthly membership cost as a sum of the fixed monthly fee and the cost per exercise class.

Step-by-step explanation:

For Suzy's gym membership, the total amount of her membership for one month can be modeled by the linear equation m = 12 + 2c. Here, m represents the total monthly membership cost, 12 represents the fixed monthly fee, and 2c represents the cost for each group exercise class attended, where c is the number of classes. To solve the equation for c, you need to manipulate the equation algebraically.

To find c, you would subtract 12 from both sides of the equation m = 12 + 2c to get m - 12 = 2c, and then divide both sides by 2, resulting in ​(m - 12) / 2 = c.

The correct equation to represent the situation is A. m = 12 + 2c.