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??
I meant to type that it seemed like it would cost at least 1,000
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.
Does he pay at the beginning of the year or the end?
To find the total amount of money that Jeffrey has paid to the gym over the past 5 years, we need to calculate the sum of the annual costs for each of those 5 years.
The function C(t) = 300 - 5t represents the annual cost of the gym membership, where t is the number of years that one has belonged to the gym.
For each year, we can substitute t = 1, 2, 3, 4, and 5 into the function C(t) to get the annual costs. Let's calculate each year's cost:
Year 1: C(1) = 300 - 5(1) = 300 - 5 = 295
Year 2: C(2) = 300 - 5(2) = 300 - 10 = 290
Year 3: C(3) = 300 - 5(3) = 300 - 15 = 285
Year 4: C(4) = 300 - 5(4) = 300 - 20 = 280
Year 5: C(5) = 300 - 5(5) = 300 - 25 = 275
To find the total amount that Jeffrey has paid over the past 5 years, we add up all of these annual costs:
Total = Year 1 cost + Year 2 cost + Year 3 cost + Year 4 cost + Year 5 cost
Total = 295 + 290 + 285 + 280 + 275
Total = 1425
Therefore, Jeffrey has paid a total of $1425 to the gym over the past 5 years.