Math Problem Statement
A phone company charges a monthly rate of $ 12.95 $12.95 and $ 0.25 $0.25 a minute per call. The bill for m m minutes is $ 21.20 $21.20. Write an equation that models this situation.
Solution
To model the situation, we can create an equation based on the monthly charge and the cost per minute.
Let be the number of minutes used. The total bill can be represented by the equation:
This equation states that the fixed monthly charge ($12.95) plus the variable cost ($0.25 per minute multiplied by the number of minutes ) equals the total bill ($21.20).
Do you want further details or have any questions? Here are some related questions you might consider:
- How would you solve this equation for ?
- What is the cost if minutes?
- If the monthly rate increased to $15, how would the equation change?
- How much would the total bill be if no minutes were used?
- What is the total cost for 100 minutes?
Tip: Always isolate the variable to solve equations efficiently!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Total Bill = Monthly Charge + Cost per Minute * Number of Minutes
Theorems
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Suitable Grade Level
Grades 7-9