https://file.aiquickdraw.com/mathbot/file/1726533358536w2vunu45.jpg

Let's solve this problem step-by-step.

Given:
- The cost for the first minute is $0.45.
- The cost for each additional minute is $0.40.
- The total cost of the call is $9.65.

Let $ t $ be the total number of minutes for which you talked.

### Step 1: Break down the total cost.
The cost for the first minute is $0.45, so for the remaining $ t - 1 $ minutes, the cost will be $ 0.40(t - 1) $.

### Step 2: Set up the equation.
The total cost of the call is given by:
\[
0.45 + 0.40(t - 1) = 9.65
\]

### Step 3: Solve for $ t $.
\[
0.45 + 0.40(t - 1) = 9.65
\]
Subtract 0.45 from both sides:
\[
0.40(t - 1) = 9.65 - 0.45
\]
\[
0.40(t - 1) = 9.20
\]
Now, divide both sides by 0.40:
\[
t - 1 = \frac{9.20}{0.40}
\]
\[
t - 1 = 23
\]
Finally, add 1 to both sides:
\[
t = 24
\]

### Answer:
You talked for **24 minutes**.

Would you like any additional details or clarifications?

Here are 5 questions to expand on the concept:
1. How would the total cost change if the additional minute cost increased to $0.50?
2. What if the initial minute was free, but every additional minute cost $0.40?
3. How would the problem change if the total call time was given and you needed to calculate the total cost?
4. How would you represent this problem graphically as a piecewise function?
5. What would happen if the total cost was a fraction of a dollar instead of a whole number?

**Tip**: When dealing with word problems, try to break down the costs or values into components like we did with the first minute and the additional minutes here.

If a phone company charges $0.45 for the first minute and $0.40 for each additional minute for a long-distance call, how long did you talk if the phone call cost $9.65?

Learn how to calculate the total duration of a phone call that costs $9.65, with $0.45 charged for the first minute and $0.40 for each additional minute. This problem introduces linear equations and algebraic problem-solving, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation