Math Problem Statement
Write a symbolic representation for a linear function that computes the following. The long distance phone bill in dollars for calling t minutes at 4040 cents per minute and a fixed fee of $2.95
Solution
The long-distance phone bill can be represented as a linear function where the total cost depends on the number of minutes called.
Here's the symbolic representation:
Where:
- is the total phone bill in dollars,
- is the number of minutes,
- is the cost per minute in dollars (converted from 40.40 cents), and
- is the fixed fee in dollars.
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Related Questions:
- How would the function change if the rate per minute was different?
- What is the cost for a 30-minute call?
- How can we determine the total cost for minutes without the fixed fee?
- How does this linear function graph look for various values of ?
- How would the fixed fee affect the overall cost if it were higher?
Tip: Always double-check the unit conversion, especially when working with cents to dollars.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Algebra
Unit Conversion
Formulas
C(t) = 0.4040t + 2.95
Theorems
Linear Equation
Suitable Grade Level
Grades 7-9