Question

Arturo is going to use a computer at an internet cafe. The cafe has an initial charge of $3 to use a computer and an additional charge of $1.50 for every minute of use. 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
Attempt 1 out of 2

You must answer all questions above in order to submit.

Answer 1

what are the total costs to use the computer?

Answer 2

To create a table of values for the total cost of using a computer at the internet cafe, we need to include the initial charge and the charge per minute.

The initial charge is $3, and the cost per minute is $1.50. Therefore, the total cost \( C \) in terms of the time \( t \) (in minutes) can be expressed as:

\[ C = 3 + 1.50t \]

Now, let's fill in the table of values:

| Number of Minutes \( t \) | Total Cost \( C \) |
|---------------------------|----------------------|
| 0 | \( C = 3 + 1.50(0) = 3 \) |
| 1 | \( C = 3 + 1.50(1) = 4.50 \) |
| 2 | \( C = 3 + 1.50(2) = 6 \) |
| 3 | \( C = 3 + 1.50(3) = 7.50 \) |

So the completed table is:

| Number of Minutes \( t \) | Total Cost \( C \) |
|---------------------------|----------------------|
| 0 | 3 |
| 1 | 4.50 |
| 2 | 6 |
| 3 | 7.50 |

### Equation for Total Cost
The equation representing the total cost \( C \) in terms of the time \( t \) is:

\[ C(t) = 3 + 1.50t \]

Answer 3

Based on the previous calculations, here are the total costs for using the computer at the internet cafe for 0, 1, 2, and 3 minutes:

| Number of Minutes \( t \) | Total Cost \( C \) |
|---------------------------|---------------------|
| 0 | \$3.00 |
| 1 | \$4.50 |
| 2 | \$6.00 |
| 3 | \$7.50 |

### Total Costs:
- For **0 minutes**: **\$3.00**
- For **1 minute**: **\$4.50**
- For **2 minutes**: **\$6.00**
- For **3 minutes**: **\$7.50**

If you need the costs for additional minutes or any further information, please let me know!