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
0
11
22
33

Answer 1

To create a table of values for the total cost to use a computer at the internet cafe, we can start by calculating the total cost for each specified time using the given pricing structure.

The internet cafe charges a flat initial fee of $3 plus $0.80 for every minute used. This leads us to the following equation for the total cost \( C \) in terms of time \( t \) (in minutes):

\[
C = 3 + 0.80t
\]

Now let's fill out the table with the total cost for 0, 11, 22, and 33 minutes.

1. For \( t = 0 \):
\[
C = 3 + 0.80(0) = 3
\]

2. For \( t = 11 \):
\[
C = 3 + 0.80(11) = 3 + 8.80 = 11.80
\]

3. For \( t = 22 \):
\[
C = 3 + 0.80(22) = 3 + 17.60 = 20.60
\]

4. For \( t = 33 \):
\[
C = 3 + 0.80(33) = 3 + 26.40 = 29.40
\]

Now we can summarize this information in a table:

| Number of Minutes (t) | Total Cost to Use Computer (C) |
|-----------------------|----------------------------------|
| 0 | $3.00 |
| 11 | $11.80 |
| 22 | $20.60 |
| 33 | $29.40 |

Thus, the equation representing the total cost \( C \) in terms of minutes \( t \) is:

\[
C = 3 + 0.80t
\]