a.
An inequality that represents the number of monthsm you can pay your rent without receiving a text alert.
a.
Answer to Problem 10CA
Explanation of Solution
Given:
Your bank offers a text alert service that notifies you when your checking account balance drops below $700. The balance is currently $3000. You only use your account for paying your rent (no other deposits or deductions occur). Your rent each month is $625.
Calculation:
Rent for 1 month is
Then, rent for m months is
Therefore, the balance in bank account after paying rent for m months is
The minimum balance in bank account must be equal or above $700 in order to avoid text alert.
Thus, in order to avoid text alert the balance must be
Hence,
b.
Maximum number of months you can pay your rent without receiving a text alert.
b.
Answer to Problem 10CA
You can pay your rent without receiving a text alert for a maximum of 3 months.
Explanation of Solution
Given:
Your bank offers a text alert service that notifies you when your checking account balance drops below $700. The balance is currently $3000. You only use your account for paying your rent (no other deposits or deductions occur). Your rent each month is $625.
Calculation:
Solving the inequality,
From the value of m , it is observed that the maximum value of m is
Since, rent is paid monthly, so we have to consider only the whole number value of m and discard its decimal value. So, maximum value of m is considered as 3.
Thus, you can pay your rent without receiving a text alert for a maximum of 3 months
c.
The months you can pay your rent without making a deposit
c.
Answer to Problem 10CA
You can pay your rent without making a deposit for June, July and August.
Explanation of Solution
Given:
Your bank offers a text alert service that notifies you when your checking account balance drops below $700. The balance is currently $3000. You only use your account for paying your rent (no other deposits or deductions occur). Your rent each month is $625. You start paying rent in June.
Calculation:
You can pay your rent without receiving a text alert for a maximum of 3 months.
Then, starting from June you can pay your rent in June, July and August.
Chapter 3 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- 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