ai mi is signing up for a gym membership with a one - time fee to join and then a monthly fee to remain a…

ai mi is signing up for a gym membership with a one - time fee to join and then a monthly fee to remain a member. the one - time fee to join the gym is $150 and the total cost of membership, including the joining fee, would be $350 for 5 months. write an equation for c, in terms of t, representing the total cost of the gym membership over t months.

ai mi is signing up for a gym membership with a one - time fee to join and then a monthly fee to remain a member. the one - time fee to join the gym is $150 and the total cost of membership, including the joining fee, would be $350 for 5 months. write an equation for c, in terms of t, representing the total cost of the gym membership over t months.

Answer

Explanation:

Step1: Find the monthly fee

Let the monthly fee be $m$. The total cost $C$ is the sum of the one - time joining fee and the total monthly fees. The one - time joining fee is $150$. For 5 months, the total cost is $350$. So we can set up the equation $350=150 + 5m$. Solving for $m$: First, subtract 150 from both sides: $350−150 = 5m$, which gives $200 = 5m$. Then divide both sides by 5: $m=\frac{200}{5}=40$.

Step2: Write the general equation

The total cost $C$ of the gym membership over $t$ months is the sum of the one - time joining fee of 150 and the monthly fee of 40 times the number of months $t$. So the equation is $C = 150+40t$.

Answer:

$C = 150 + 40t$