Question

Donica wants to join a gym Gym A: $20 joining free and $40 monthly charge Gym B: No joining fee and $45 monthly charge Enter the number of months it will take for total cost for both gyms to be equal.

Answer 1

Use equation in the form:

$C=mx+b$

Where C is the cost, m is the monthly charge, x is the number of months and b is the joining fee:

Gym A:

$C_A=40x+20$

Gym B:

$C_B=45x$

Find the number of months (x) that it rill take for CA and CB to be equal:

Equal CA and CB:

$\begin{gathered} C_A=C_B \\ \\ 40x+20=45x \end{gathered}$

Use the equation above to find the value of x:

$\begin{gathered} 40x-45x=-20 \\ -5x=-20 \\ x=\frac{-20}{-5} \\ \\ x=4 \end{gathered}$Then, it will take 4 months for total cost for both gyms to be equal