Cassie prepaid a 6-month membership to the Summer Lotus yoga studio.

Question

She received a one-time discount of $40 for prepaying. Cassie paid a total of $650.
)) Which equation can Cassie use to find m, the regular cost per month?
6(m - 40) = 650
40m - 6 = 650
6т - 40 = 650
40(m - 6) = 650

Answer 1

To find the regular cost per month \( m \) of the yoga studio membership, we need to consider that Cassie prepaid for 6 months while also receiving a $40 discount.

The total amount paid (after applying the discount) can be expressed as:

\[ 6m - 40 = 650 \]

This equation represents that Cassie is paying for 6 months at the regular price \( m \), minus the $40 discount, which equals her total payment of $650.

Now let's analyze the options provided:

1. \( 6(m - 40) = 650 \) - This implies \( m - 40 \) is the cost per month, but that is incorrect as it falsely suggests the discount applies to each month.

2. \( 40m - 6 = 650 \) - This equation doesn’t accurately represent the situation, as it improperly combines the numbers.

3. \( 6m - 40 = 650 \) - Correct, as explained above.

4. \( 40(m - 6) = 650 \) - This suggests a misunderstanding of the discount and the total payments.

Thus, the correct equation that Cassie can use to find \( m \) is:

\[ \boxed{6m - 40 = 650} \]