Question

You are choosing between two health clubs. Club A offers a membership fee of $10 plus $15 per month. Club B offers a fee of $25 plus $12 per month. After how many months will both clubs cost the same?(1 point)

Answer 1

To find out after how many months both clubs cost the same, we can set up an equation for the total cost of each club.

Let \( m \) be the number of months.

**Cost for Club A:**
\[
\text{Cost}_A = 10 + 15m
\]

**Cost for Club B:**
\[
\text{Cost}_B = 25 + 12m
\]

We want to find the value of \( m \) when the costs are equal:
\[
10 + 15m = 25 + 12m
\]

Now, let's solve for \( m \):

1. Subtract \( 12m \) from both sides:
\[
10 + 3m = 25
\]

2. Subtract 10 from both sides:
\[
3m = 15
\]

3. Divide by 3:
\[
m = 5
\]

Thus, after **5 months**, both clubs will cost the same.