Question

If C(t) = 180 + 10t represents ISP A and C(t) =

25t represents ISP B, how long would the service
contracts need to be for the total costs to be the same?​

Answer 1

12

Explanation:

You want the costs to be the same so set them equal.

180+10t=25t

Subtract 10t on both sides:

180. =15t

Divide both sides by 15:

180/15. =t

12. =t

So t=12 would give us the costs being the same.

Answer 2

After 12 months, the service contracts will cost the same.

Explanation:

The given functions are

`C(t)=180+10t\\C(t)=25t`

To answer the question, we just need to solve this system. We are gonna replace the second function into the first one,

`C(t)=C(t)\\180+10t=25t\\15t=180\\t=(180)/(15)=12`

Therefore, after 12 months, the service contracts will cost the same.