300 200 100 5. On the same graph, draw the line for the following equation which represents a different oven: y = 20x + 240 Minutes passed 6. When do the two ovens have the same temperature? Fahrenheit
300 200 100 5. On the same graph, draw the line for the following equation which represents a different oven: y = 20x + 240 Minutes passed 6. When do the two ovens have the same temperature? Fahrenheit
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 5 is connected to number 6
![### Educational Graph Analysis
#### Graph Explanation:
The graph represents the change in temperature over time for an oven. The x-axis is labeled "Minutes passed" and ranges from 0 to 5 minutes. The y-axis is labeled "Fahrenheit" and ranges from 0 to 300 degrees Fahrenheit. A red line on the graph starts at (0, 0) and rises linearly, indicating a constant rate of increase in temperature. The line passes through the points (1, 60), (2, 120), (3, 180), (4, 240), and appears to stop at (5, 300).
#### Tasks:
5. On the same graph, draw the line for the following equation which represents a different oven: y = 20x + 240.
6. When do the two ovens have the same temperature?
### Instructions:
**Drawing the Second Line:**
1. The given equation is y = 20x + 240. To plot this:
- Start at the y-intercept (0, 240).
- For every 1 minute increase on the x-axis, increase the temperature by 20 degrees Fahrenheit.
**Finding the Intersection Point:**
1. To find when the two ovens have the same temperature, set the equations of the two lines equal to each other and solve for x:
- Let y = 60x (Equation of the first line)
- Let y = 20x + 240 (Equation of the second line)
- Set 60x = 20x + 240
- Solve for x:
- 60x - 20x = 240
- 40x = 240
- x = 6
- Therefore, the two ovens have the same temperature after 6 minutes.
### Conclusion:
By plotting the second line and solving the equations, you can visually and algebraically determine the intersection point where both ovens reach the same temperature. This type of analysis can be applied to various real-world scenarios involving linear relationships.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1404328c-569b-42a0-bb7f-a1a0e58a6542%2F27b0ed6e-db41-4a9c-b5e3-4cdc244e628e%2Fo5a6m7v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Graph Analysis
#### Graph Explanation:
The graph represents the change in temperature over time for an oven. The x-axis is labeled "Minutes passed" and ranges from 0 to 5 minutes. The y-axis is labeled "Fahrenheit" and ranges from 0 to 300 degrees Fahrenheit. A red line on the graph starts at (0, 0) and rises linearly, indicating a constant rate of increase in temperature. The line passes through the points (1, 60), (2, 120), (3, 180), (4, 240), and appears to stop at (5, 300).
#### Tasks:
5. On the same graph, draw the line for the following equation which represents a different oven: y = 20x + 240.
6. When do the two ovens have the same temperature?
### Instructions:
**Drawing the Second Line:**
1. The given equation is y = 20x + 240. To plot this:
- Start at the y-intercept (0, 240).
- For every 1 minute increase on the x-axis, increase the temperature by 20 degrees Fahrenheit.
**Finding the Intersection Point:**
1. To find when the two ovens have the same temperature, set the equations of the two lines equal to each other and solve for x:
- Let y = 60x (Equation of the first line)
- Let y = 20x + 240 (Equation of the second line)
- Set 60x = 20x + 240
- Solve for x:
- 60x - 20x = 240
- 40x = 240
- x = 6
- Therefore, the two ovens have the same temperature after 6 minutes.
### Conclusion:
By plotting the second line and solving the equations, you can visually and algebraically determine the intersection point where both ovens reach the same temperature. This type of analysis can be applied to various real-world scenarios involving linear relationships.
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