9. Two integers, a and b, have a product of-48. a. What is the greatest possible sum of a and b? b. Is it possible for a and b to have a sum of 13? If so, what are the integers? c. What is the least possible difference of a and b? Tell whether the statement is true or false. Explain your reasoning. 10. The product of three negative integers is negative. 11. The product of four negative integers is negative.
9. Two integers, a and b, have a product of-48. a. What is the greatest possible sum of a and b? b. Is it possible for a and b to have a sum of 13? If so, what are the integers? c. What is the least possible difference of a and b? Tell whether the statement is true or false. Explain your reasoning. 10. The product of three negative integers is negative. 11. The product of four negative integers is negative.
Transcribed Image Text:**Membership Discount Problem:**
The price for membership is $550 per year. The second member to join (n = 1) gets a discount of $75 per year. The third member (n = 2) gets an additional $75 discount. The price for the nth member is given by:
\[ 550 + (-75n) \]
**Questions:**
1. **What is the price for the fourth member to join (n = 3)?**
2. **For a large family, is it possible that a member would join for free? If so, which member would it be? Explain your reasoning.**
3. **Other than $0, what is the lowest amount that a member would pay to join? Which member would it be? Explain your reasoning.**
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**Integer Product Problem:**
Two integers, \( a \) and \( b \), have a product of \(-48\).
**Questions:**
1. **What is the greatest possible sum of \( a \) and \( b \)?**
2. **Is it possible for \( a \) and \( b \) to have a sum of 13? If so, what are the integers?**
3. **What is the least possible difference of \( a \) and \( b \)?**
---
**True or False Statements:**
10. The product of three negative integers is negative.
11. The product of four negative integers is negative.
12. The product of two negative integers and one positive integer is negative.
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![**Membership Discount Problem:**
The price for membership is $550 per year. The second member to join (n = 1) gets a discount of $75 per year. The third member (n = 2) gets an additional $75 discount. The price for the nth member is given by:
\[ 550 + (-75n) \]
**Questions:**
1. **What is the price for the fourth member to join (n = 3)?**
2. **For a large family, is it possible that a member would join for free? If so, which member would it be? Explain your reasoning.**
3. **Other than $0, what is the lowest amount that a member would pay to join? Which member would it be? Explain your reasoning.**
---
**Integer Product Problem:**
Two integers, \( a \) and \( b \), have a product of \(-48\).
**Questions:**
1. **What is the greatest possible sum of \( a \) and \( b \)?**
2. **Is it possible for \( a \) and \( b \) to have a sum of 13? If so, what are the integers?**
3. **What is the least possible difference of \( a \) and \( b \)?**
---
**True or False Statements:**
10. The product of three negative integers is negative.
11. The product of four negative integers is negative.
12. The product of two negative integers and one positive integer is negative.](https://content.bartleby.com/qna-images/question/481e79c7-e014-477e-a523-c82b71c000a4/99f4d7b5-d17c-4ea5-859a-059e8a4cf148/r8smivr_processed.jpeg)
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