Math Problem Statement
Aiden is going to use a computer at an internet cafe. The cafe charges $0.60 for every minute using a computer on top of an initial charge of $3. 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.
Solution
To write an equation representing the total cost (in dollars) for using a computer for minutes at the internet cafe, we need to account for both the initial charge and the per-minute charge.
- Initial charge: $3
- Charge per minute: $0.60 per minute
The total cost is the sum of the initial charge and the product of the time and the per-minute charge. Therefore, the equation is:
where:
- is the total cost in dollars,
- is the number of minutes.
Would you like further details or have any questions?
Related questions:
- How much would it cost to use the computer for 10 minutes?
- If Aiden has $10, how many minutes can he use the computer for?
- What happens to the total cost if the per-minute charge increases to $0.75?
- How would the equation change if the initial charge was $5 instead of $3?
- What is the total cost if Aiden uses the computer for 0 minutes?
Tip:
Always identify both fixed and variable costs in problems involving charges to create accurate cost models.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Cost Modeling
Formulas
C = 3 + 0.60t
Theorems
-
Suitable Grade Level
Grades 6-8
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