Jads sells ground paprika. Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed. 500 a. Write a function that models the 450 situation. 400 350 b. What is the domain of the function? What does it represent in the context of the problem? 300- 250 200 150 100 50 10 20 40 50 60 70 80 90 100 c. What is the rate of change? What does it represent in the context of the problem? 50 100 150 200 250 Profit (dollars)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Transcription for Educational Website**

**Context:**
Jada sells ground paprika. Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed below.

**Questions:**

a. Write a function that models the situation.

b. What is the domain of the function? What does it represent in the context of the problem?

c. What is the rate of change? What does it represent in the context of the problem?

d. What is the x-intercept? What does it represent in the context of the problem?

e. What is the y-intercept? What does it represent in the context of the problem?

f. Over which interval, if any, is the function positive? What does it represent in the context of the problem?

g. Over which interval, if any, is the function negative? What does it represent in the context of the problem?

**Graph:**

The graph depicts a linear relationship between the amount of paprika Jada sells and her weekly profit. 

- **X-Axis:** Represents the amount of paprika sold in kilograms (ranging from 0 to 100 kg).
- **Y-Axis:** Represents the profit in dollars (ranging from 250 to 500 dollars).

The plotted line shows a positive slope, indicating that as the amount of paprika sold increases, so does the profit. The line starts at an approximate y-value of 250 dollars when x is 0 kilograms and ends near a y-value of 500 dollars as x approaches 100 kilograms.
Transcribed Image Text:**Transcription for Educational Website** **Context:** Jada sells ground paprika. Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed below. **Questions:** a. Write a function that models the situation. b. What is the domain of the function? What does it represent in the context of the problem? c. What is the rate of change? What does it represent in the context of the problem? d. What is the x-intercept? What does it represent in the context of the problem? e. What is the y-intercept? What does it represent in the context of the problem? f. Over which interval, if any, is the function positive? What does it represent in the context of the problem? g. Over which interval, if any, is the function negative? What does it represent in the context of the problem? **Graph:** The graph depicts a linear relationship between the amount of paprika Jada sells and her weekly profit. - **X-Axis:** Represents the amount of paprika sold in kilograms (ranging from 0 to 100 kg). - **Y-Axis:** Represents the profit in dollars (ranging from 250 to 500 dollars). The plotted line shows a positive slope, indicating that as the amount of paprika sold increases, so does the profit. The line starts at an approximate y-value of 250 dollars when x is 0 kilograms and ends near a y-value of 500 dollars as x approaches 100 kilograms.
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