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
1
2
3

Answer 1

To create a table of values and an equation for the total cost \(C\) in terms of the time \(t\) in minutes, we need to consider the initial charge and the cost per minute.

The initial charge is $3, and there is a charge of $0.80 for every minute used.

The equation that represents the total cost \(C\) is:

\[
C = 3 + 0.80t
\]

Now, let's create a table of values for \(t = 0, 1, 2, 3\) minutes:

| 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 | \(C = 3 + 0.80(3) = 5.40\) |

Now filling in the total costs:

| Number of Minutes (t) | Total Cost (C) |
|-----------------------|----------------|
| 0 | $3.00 |
| 1 | $3.80 |
| 2 | $4.60 |
| 3 | $5.40 |

So, the equation for the total cost in terms of the time spent using the computer is:

\[
C = 3 + 0.80t
\]