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

User Sean Ford
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8.0k points

2 Answers

5 votes
12 months, plug it in to find both equal to 300
User Ozan Bulut
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8.4k points
5 votes

Answer:

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

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.


(180)/(15)=t


12=t

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

User Tilman Vogel
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8.4k points
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