https://file.aiquickdraw.com/mathbot/file/1727101814935h3vtqdn6.jpg

https://file.aiquickdraw.com/mathbot/file/1727101814936clbh002s.jpg

The problem involves interpreting a graph that shows the proportional relationship between the number of hours a business operates and the total cost of electricity. Here’s how to analyze the provided graph and question:

1. **Understanding Point A**: The graph shows a line through the origin, which suggests a direct proportionality. The point labeled "A" seems to correspond to 4 hours on the x-axis and approximately 120 dollars on the y-axis. This indicates that after 4 hours, the total cost of electricity is $120. Hence, **statement A** is true.

2. **Cost per Hour**: Since the graph is linear and proportional, we can calculate the unit rate (cost per hour) using the coordinates of point A. The rate is $\frac{120 \, \text{dollars}}{4 \, \text{hours}} = 30 \, \text{dollars per hour}$. 
    - According to **statement B**, the total cost for 1 hour is $20, but from the calculation, we know it should be $30 per hour. Therefore, **statement B** is false.

3. **Conclusion**: Since statement A is true and statement B is false, **option C ("None of the above")** is also incorrect.

**Answer: A**.

Would you like more details or explanations? 

Here are 5 related questions to expand on this:

1. What would be the total cost of electricity for 6 hours based on the given graph?
2. How can you verify if a relationship is proportional from a graph?
3. What is the equation of the line representing this graph?
4. If the cost per hour changed, how would the graph change?
5. How can we calculate the slope of a line, and what does it represent in real-world contexts like this?

**Tip**: When dealing with proportional relationships, always check if the graph passes through the origin and has a constant rate of change (slope). This helps confirm proportionality.

Which statements about the graph are true? Choose all answers that apply: A. The y-coordinate of point A represents the total cost of electricity when the business operates for 4 hours. B. The total cost of electricity is $20 when operating the business for 1 hour. C. None of the above.

Learn how to interpret graphs showing proportional relationships between hours operated and electricity cost. Analyze statements and calculate the cost per hour using the equation y = 30x. Suitable for Grades 6-8 students learning linear relationships.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation