A two-year prepaid membership at Gym A cost $250 for the first year plus $19 per month for the second year. A two-year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year. Leah says the cost for both gym memberships will be the same after the 11th month of the second year. Do you agree? Explain.

Question

A two-year prepaid membership at Gym A cost $250 for the first year plus $19 per month for the second year. A two-year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year. Leah says the cost for both gym memberships will be the same after the 11th month of the second year. Do you agree? Explain.

Answer 1

To determine if Leah's statement is correct, we need to compare the costs of the two gym memberships after the 11th month of the second year.

Let's calculate the cost for each gym membership separately:

Gym A:
First-year cost: $250
Second-year cost: $19 per month for 12 months = $228

Total cost for Gym A: $250 + $228 = $478

Gym B:
First-year cost: $195
Second-year cost: $24 per month for 12 months = $288

Total cost for Gym B: $195 + $288 = $483

Based on these calculations, it is clear that the cost for both gym memberships is not the same after the 11th month of the second year. Gym B is actually more expensive than Gym A by $5. Therefore, I do not agree with Leah's statement.

Answer 3

To determine if the cost for both gym memberships will be the same after the 11th month of the second year, we need to calculate the total cost of each membership for the first two years.

Let's start with Gym A. According to the information given, the first year costs $250, and for the second year, it is $19 per month. Since there are 12 months in a year, the total cost for the second year would be 12 * $19 = $228.

Therefore, the total cost for a two-year prepaid membership at Gym A would be $250 + $228 = $478.

Now let's move on to Gym B. For Gym B, the first year costs $195, and for the second year, it is $24 per month. Similar to Gym A, the total cost for the second year would be 12 * $24 = $288.

Therefore, the total cost for a two-year prepaid membership at Gym B would be $195 + $288 = $483.

Comparing the two totals, we can see that the cost for Gym A is $478, while the cost for Gym B is $483. Therefore, based on these calculations, Leah is correct. The cost for both gym memberships will be the same after the 11th month of the second year.

Similar to your two previous problems.

To determine if Leah's statement is correct, we need to compare the costs of the two gym memberships after the 11th month of the second year.

To determine if the cost for both gym memberships will be the same after the 11th month of the second year, we need to calculate the total cost of each membership for the first two years.