Question

Tanya decides they want to join the local gym. the gym charges a $50 membership fee and $30 each month. tanya writes the function for the total cost, t, after m months below describe tanya’s mistake. find the correct function that models the situation?

Answer 1

Tanya's mistake was not accounting for the initial membership fee. The correct function is t(m) = 50 + 30(m-1).

Step-by-step explanation:

Tanya's mistake in writing the function for the total cost is that she did not correctly account for the initial membership fee of $50. Tanya's function, t(m), should include the membership fee as a one-time cost, and then add the monthly cost of $30 multiplied by the number of months (m-1), since the membership fee only needs to be paid once.

Correct Function:

t(m) = 50 + 30(m-1)