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

The long-distance phone bill can be represented as a linear function where the total cost depends on the number of minutes $ t $ called.

Here's the symbolic representation:

\[
C(t) = 0.4040t + 2.95
\]

Where:
- $ C(t) $ is the total phone bill in dollars,
- $ t $ is the number of minutes,
- $ 0.4040 $ is the cost per minute in dollars (converted from 40.40 cents), and
- $ 2.95 $ is the fixed fee in dollars.

Would you like to explore more details or ask any questions?

### Related Questions:
1. How would the function change if the rate per minute was different?
2. What is the cost for a 30-minute call?
3. How can we determine the total cost for $ t $ minutes without the fixed fee?
4. How does this linear function graph look for various values of $ t $?
5. 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.

Write a symbolic representation for a linear function that computes the following. The long distance phone bill in dollars for calling t minutes at 40.40 cents per minute and a fixed fee of ​$2.95.

Understand how to represent a linear function to calculate the total cost of a long-distance phone bill. This problem covers algebraic concepts, including linear functions and unit conversions, using the formula C(t) = 0.4040t + 2.95. Suitable for students in Grades 7-9.

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