Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. The initial charge to use the computers is $4 and the total charge would be $6 for 5 minutes of use. Write an equation for the function C (t), C (t), representing the total cost of using a computer for tt minutes at the internet cafe.

Question

Mathematics

Nancy Marshall

24 November, 00:29

Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. The initial charge to use the computers is $4 and the total charge would be $6 for 5 minutes of use. Write an equation for the function C (t), C (t), representing the total cost of using a computer for tt minutes at the internet cafe.

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Answers (1)

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Kara Hicks · Answer 1

Answer: C (t) = 0.4t + 4

Step-by-step explanation:

Let t represent the total number of minutes of using a computer at the internet cafe.

The cafe charges an initial fee to use the computer and then an additional price per minute of usage. The initial charge to use the computers is $4 and the total charge would be $6 for 5 minutes of use. This is expressed as

5t + 4 = 6

5t = 6 - 4 = 2

t = 2/5 = 0.4

It means that the charge per minute would be $0.4

Therefore, the equation for the function C (t), representing the total cost of using a computer for t minutes at the internet cafe is

C (t) = 0.4t + 4