https://file.aiquickdraw.com/mathbot/file/1728273408775lyn3r9do.jpg

The problem describes a situation where Julieta took her computer to a repair store. The technician worked for 4 hours, charged her $95 for parts, and the total amount charged was $555. The goal is to find which equation or tape diagram could represent the context where $ c $ represents the hourly labor cost.

Let's break it down:

- The technician worked for 4 hours, so the labor cost is $ 4c $.
- The parts cost is a flat $95.
- The total cost, which includes the labor and parts, is $555.

Thus, the equation that models the total cost is:
\[
4c + 95 = 555
\]
Now, let's analyze the choices:

- **Option A** shows the equation $ 4(95 + c) = 555 $, which is incorrect because it implies that both the parts and labor are multiplied by 4.
- **Option B** is a tape diagram showing $ 95 $ plus 4 segments each representing $ c $, leading to a total of $ 555 $. This accurately reflects the situation: the total of $555 is the sum of $95 for parts and $4c$ for labor.
- **Option C** represents something different; it shows three sections of $ 95 $ and then a single $ c $. This doesn't match the problem's structure.
- **Option D** shows the equation $ c = \frac{555 - 4}{95} $, which is not correct either in terms of operation.

### Conclusion:
The correct answer is **Option B**. This tape diagram properly illustrates the sum of $95 for parts and 4 segments of labor cost $ c $ adding up to $555.

---

Would you like more details or have any questions?

Here are 5 questions based on this explanation:
1. How would you solve the equation $ 4c + 95 = 555 $?
2. How can you use algebra to verify that the tape diagram in option B is correct?
3. Why is option A's equation $ 4(95 + c) = 555 $ incorrect?
4. What kind of real-life scenarios can be modeled with similar tape diagrams?
5. How can you graphically represent the equation $ 4c + 95 = 555 $?

**Tip:** When solving word problems, always identify what each variable represents and construct your equation step by step from the context!

Julieta needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $95 for parts. The total was $555. Which equation or tape diagram could be used to represent the context if c represents the cost of labor per hour?

Explore how to solve the linear equation 4c + 95 = 555 using a word problem involving repair costs. Learn about algebraic methods and the use of tape diagrams to represent the problem visually. 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