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maks197457 [2]
3 years ago
9

Paul is comparing two high-speed Internet service providers (ISPs) for his business. The graph represents the cost of each ISP a

s a function of t, the duration in months of a service contract.
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?


6 months

8 months

10 months

12 months
Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0
12 months, plug it in to find both equal to 300
Murrr4er [49]3 years ago
4 0

Answer:

The correct option is 4. The total costs will be the same at 12 months.

Step-by-step explanation:

The given equations represents the cost of each ISP as a function of t, the duration in months of a service contract.

ISP A:

C(t)=180+10t

ISP B:

C(t)=25t

Equate both the functions to find the time at which the total costs to be the same.

180+10t=25t

Subtract 10t from both the sides.

180+10t-10t=25t-10t

180=15t

Divide both sides by 15.

\frac{180}{15}=t

12=t

The total costs will be the same at 12 months. Therefore the correct option is 4.

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