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 CC (in dollars) for using a computer for tt 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 CC is the sum of the initial charge and the product of the time tt and the per-minute charge. Therefore, the equation is:

C=3+0.60tC = 3 + 0.60t

where:

  • CC is the total cost in dollars,
  • tt is the number of minutes.

Would you like further details or have any questions?

Related questions:

  1. How much would it cost to use the computer for 10 minutes?
  2. If Aiden has $10, how many minutes can he use the computer for?
  3. What happens to the total cost if the per-minute charge increases to $0.75?
  4. How would the equation change if the initial charge was $5 instead of $3?
  5. 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

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Suitable Grade Level

Grades 6-8