Question

1. jonathan is signing up for a gym membership with a one - time fee to join and then a monthly fee to remain a member. the monthly fee to be a member is $20. the total cost of membership, including the joining fee, would be $275 for 6 months. write an equation for c, in terms of t, representing the total cost of the gym membership after t months.

Explanation:

Step1: Let the one - time joining fee be $x$.

The cost for $t$ months is the one - time joining fee plus the monthly fee times the number of months. The monthly fee is $20$, so the cost for $t$ months is $C=x + 20t$.

Step2: Use the given information to find $x$.

We know that when $t = 6$, $C=275$. Substitute these values into the equation $C=x + 20t$:
$275=x+20\times6$.
$275=x + 120$.
Solve for $x$: $x=275 - 120=155$.

Step3: Write the final equation.

Substitute $x = 155$ into $C=x + 20t$.
$C=155+20t$.

Answer:

$C = 155+20t$