Question

Faith is going to use a computer at an internet cafe. The cafe charges $0.80 for every minute using a computer on top of an initial charge of $3. Make a table of values and then write an equation for C, commaC, in terms of t, commat, representing the total cost of using a computer for tt minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
00
11
22
33

Answer 1

To find the total cost \( C \) in terms of the number of minutes \( t \) that Faith uses the computer at the internet cafe, we start with the initial charge and the charge per minute.

The total cost can be broken down as follows:
1. **Initial Charge:** $3
2. **Charge per Minute:** $0.80 per minute

Therefore, the total cost \( C \) can be expressed with the equation:
\[
C = 3 + 0.80t
\]

Now, let's create a table of values for \( t \) from 0 to 3 minutes, and calculate the total cost \( C \) for each value of \( t \).

| Number of Minutes \( t \) | Total Cost \( C \) |
|----------------------------|---------------------|
| 0 | \( C = 3 + 0.80(0) = 3 \) |
| 1 | \( C = 3 + 0.80(1) = 3.80 \) |
| 2 | \( C = 3 + 0.80(2) = 4.60 \) |
| 3 | \( C = 3 + 0.80(3) = 5.40 \) |

Thus, the completed table is:

| Number of Minutes \( t \) | Total Cost \( C \) |
|----------------------------|---------------------|
| 0 | 3 |
| 1 | 3.80 |
| 2 | 4.60 |
| 3 | 5.40 |

In summary, the equation representing the total cost of using a computer for \( t \) minutes at the internet cafe is:
\[
C = 3 + 0.80t
\]