Question

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 $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.

Answer 1

C(t) = 25+34.37t

Explanation:

It is given that,

The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months.

We need to write an equation for C in terms of t representing the total cost of the gym membership over t months.

At t=0, Jonathan pays $25 as joining fee.

Equation will be :

C(t) = Co+kt

Initially, Co = 25

C(t) = 25

At t = 8,

C(8) = 25 + k(8) = 300

8k = 275

k = 34.37

⇒ C(t) = 25+34.37t

Hence, this is the required equation.