Asked by Rachel

The annual cost of a gym membership can be represented by the function C(t)=300-5t, where t is the number of years that one has belonged to the gym. If Jeffrey has been a member for 5 years, what is the total amount of money that he has paid to the gym over the past 5 years.

I solved the equation, inserting 5 for t and got $55, which doesn't make any sense given the context of the question. It seems like it would cost at least 1,00. Help??

Answers

Answered by Rachel
I meant to type that it seemed like it would cost at least 1,000
Answered by Steve
make a table for t=1 to 5. The annual cost is

1: 300-5 = 295
2: 300-10 = 290
3: 300-15 = 285
4: 300-20 = 280
5: 300-25 = 275
just add them up.

Hmm. Maybe you just use t=5 for all 5 years. In that case, the annual cost is 275, so the total would be 5*275 = $1375

How did you solve for t and get $55? As you say, it makes no sense, and I suspect your calculation was rather bogus.
Answered by Damon
Does he pay at the beginning of the year or the end?
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