Question

Health Club A charges a $50 sign-up fee and $27 per month, while Health Club B charges according to the equationy=60x+30. If y

represents the total cost and xrepresents the number of months, which of the following statements is correct?
A) Health Club A and B have the same pricing structure.
B) Health Club A is more expensive for the first month, but Health Club B becomes more expensive after the second month.
C) Health Club A is always more expensive than Health Club B.
D) Health Club B is always more expensive than Health Club A.

Answer 1

The total cost for Health Club A can be expressed as 27x + 50, while Health Club B follows the equation y = 60x + 30. Health Club A is more expensive for the first month, but Health Club B becomes more expensive after the second month.

Step-by-step explanation:

The equation for the total cost y of Health Club B is given by y = 60x + 30. On the other hand, Health Club A charges a $50 sign-up fee and $27 per month. To determine which statement is correct, we need to compare the total cost for both clubs.

For Health Club A, the total cost can be expressed as 27x + 50, where x represents the number of months.

By comparing the equations, we can see that Health Club A has a sign-up fee and a constant monthly charge, while Health Club B has a constant rate per month. Therefore, the correct statement is Health Club A is more expensive for the first month, but Health Club B becomes more expensive after the second month (option B).