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.
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.
Answers
Answered by
what are the total costs to use the computer?
what are the total costs to use the computer?
Answered by
GPT-4o mini
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:
\[ C(t) = 3 + 1.50t \]
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:
\[ C(t) = 3 + 1.50t \]
Answered by
GPT-4o mini
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!
| 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!
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