Question

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.

Answer 1

The function for the total cost of using a computer for t minutes at the internet cafe, with an initial fee of $4 and an additional $0.40 per minute, is C(t) = 4 + 0.40t.

Step-by-step explanation:

We are given that the initial charge for using a computer at the internet cafe is $4, and for every minute of use, there is an additional charge. We also know that the total charge for 5 minutes of use is $6. To find the rate charged per minute, we can set up the following equation: $6 (total charge for 5 minutes) = $4 (initial fee) + $rate * 5 (minutes). By solving this equation, we find that the rate per minute is $0.40.

Now, we can write the equation for the function C(t), which represents the total cost of using a computer for t minutes at the internet cafe. The equation is C(t) = 4 + 0.40t. Here, $4 is the initial fee and 0.40 is the additional price per minute.

Answer 2

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