Concept explainers
(a)
Write an inequality that models the minimum number of weeks n Brianna needs to save.
(a)
Answer to Problem 80S
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 80S
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 80S
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 80S
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 80S
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
Additional Math Textbook Solutions
Pre-Algebra Student Edition
University Calculus: Early Transcendentals (4th Edition)
Introductory Statistics
Calculus: Early Transcendentals (2nd Edition)
Basic Business Statistics, Student Value Edition
Algebra and Trigonometry (6th Edition)
- Solutions of inequalitie Google Classroom Mic Is (-3, 2) a solution of 7x+9y > -3? Choose 1 answer: A Yes B No Related content ▶6:06 Testing solutions to inequalities 2 of 4arrow_forwardAre natural logarithms used in real life ? How ? Can u give me two or three ways we can use them. Thanksarrow_forward?arrow_forward
- Solve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forward
- Solve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forwardSolve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education