
(a)
Write an inequality that models the minimum number of weeks n Brianna needs to save.
(a)

Answer to Problem 54PFA
Inequality:
Explanation of Solution
Given:
Brianna is saving $15 each week to purchase a new tablet for $389.99.
Write an inequality that models the minimum number of weeks n Brianna needs to save.
Concept Used:
Brianna is saving $15 each week to purchase a new tablet for $389.99.
Let the number of weeks be n
Inequality:
Thus, Inequality:
(b)
Find the least number of weeks Brianna need to save.
(b)

Answer to Problem 54PFA
At least 26 weeks Brianna needs to save.
Explanation of Solution
Given:
Brianna is saving $15 each week to purchase a new tablet for $389.99.
What is the least number of weeks Brianna need to save?
Concept Used:
Brianna is saving $15 each week to purchase a new tablet for $389.99.
Inequality:
Calculation:
Inequality:
Solve for n:
Thus, at least 26 weeks Brianna needs to save.
(c)
Choose the correct inequality given in the options.
(c)

Answer to Problem 54PFA
At most she needs 13 weeks. Option F is correct.
Explanation of Solution
Given:
Suppose Brianna has saved $75 so far. She starts working a part-time job and discovers that she can now save $25 each week. Which of the following true?
Concept Used:
Suppose Brianna has saved $75 so far. She starts working a part-time job and discovers that she can now save $25 each week. Which of the following true?
Inequality:
Calculation:
Inequality:
Solve for n:
At most she needs 13 weeks. Option F is correct.
Thus, at most she needs 13 weeks. Option F is correct.
(d)
Find the number of weeks she needs to save after starting her new job.
(d)

Answer to Problem 54PFA
At most she needs 13 weeks.
Explanation of Solution
Given:
Suppose Brianna has saved $75 so far. She starts working a part-time job and discovers that she can now save $25 each week. How many weeks will Brianna need to save after starting her new job?
Inequality:
Calculation:
Inequality:
Solve for n:
At most she needs 13 weeks.
Thus, at most she needs 13 weeks.
(e)
Find after 10 weeks of her new job, Brianna can buy the tablet.
(e)

Answer to Problem 54PFA
Brianna can easily buy the tablet with her savings.
Explanation of Solution
Given:
Brianna is saving $15 each week to purchase a new tablet for $389.99.
Suppose 10 weeks after starting her job, the tablet goes on sale for 20% of the original price. Will Brianna be able to buy the tablet? Explain.
Concept Used:
Find the savings after 10 weeks and then find the discounted price of the tablet.
Now, the tablet goes on sale for 20% of the original price.
Calculation:
After 10 weeks starting her new job, her total savings:
After 10 weeks, her savings = $325.
Now, the tablet goes on sale for 20% of the original price.
Discounted price of the tablet is:
Her savings is $325 and the discounted price of the tablet is $311.99.
So, Brianna can easily buy the tablet with her savings.
Thus, Brianna can easily buy the tablet with her savings.
Chapter 5 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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