Question

John is deciding which fitness center to join. Kings gym charges an initial member fee of $120 for the first month, and $24 for each additional month. Reds gym charges an initial member fee of $89 for the first month, and $26 for each additional month.

A) Kings gym is cheaper for the first 6 months.
B) Reds gym is cheaper for the first 6 months.
C) Kings gym is always cheaper.
D) Reds gym is always cheaper.

Answer 1

The correct answer is B) Reds gym is cheaper for the first 6 months.

Step-by-step explanation:

To determine which gym is cheaper for the first 6 months, we need to compare the total cost for each gym. For Kings gym, the initial member fee of $120 is added to the additional monthly fees of $24 for each of the first 5 months. For Reds gym, the initial member fee of $89 is added to the additional monthly fees of $26 for each of the first 5 months. We can calculate the total cost for each gym and compare them.

1. Kings gym: Initial member fee of $120 + 5 additional monthly fees of $24 = $<<120+5*24=240>>240
2. Reds gym: Initial member fee of $89 + 5 additional monthly fees of $26 = $<<89+5*26=219>>219

From the calculations, we can see that Reds gym is cheaper for the first 6 months.