Question

Jalese’s Gym charges customers an initial sign-up fee plus a monthly service charge. The total cost, C, for x months of membership can be calculated using the formula Cx=19.75x + 25.50. Choose all statements below that are correct.Jalese’s Gym charges an initial sign-up fee of $19.75. Jalese’s Gym charges an initial sign-up fee of $25.50. This is represented by the constant term.Jalese’s Gym charges a monthly service charge of $19.75. This is represented as a coefficient of x.Jalese’s Gym charges a monthly service charge of $25.50. The is represented by the constant term.After one month of membership, a customer would have paid a total of $19.75. This is represented as C(1) = 19.75.The total cost for a year of gym membership, including sign-up fee, is $262.50. This is represented as C(12) = 262.50.

Answer 1

The following are correct:

• Jalese’s Gym charges an initial sign-up fee of $25.50. This is represented as the constant term.

• Jalese’s Gym charges a monthly service charge of $19.75. This is represented as a coefficient of x.

• The total cost for a year of gym membership, including sign-up fee, is $262.50. This is represented as C(12) = 262.50.​

Step-by-step explanation:

Given that the formula for cost as:

Cx = 19.75x + 25.50

C is the cost, and x is the number of months

Then the following are correct:

• Jalese’s Gym charges an initial sign-up fee of $25.50. This is represented as the constant term as it is unchanged.

• Jalese’s Gym charges a monthly service charge of $19.75. This is represented as a coefficient of x.

• The total cost for a year of gym membership, including sign-up fee, is $262.50. This is represented as C(12) = 262.50.​ Substituting x by 12, we have C(12) = 262.50.