a.
To find the two functions that model two discounts.
The function that models $5 rebate is
Given information:
A customer receives a rebate of $5 if they buy a regular priced CD at $13 each, and they can also receive 15% off if they register as a store member.
Calculation:
If customers buy
If customers register a store member and buy
Therefore, the functions that models the two discounts are
Conclusion:
The function that models $5 rebate is
b.
To find ordered in which the discount be applied to receive greatest discount.
The discount will be greatest if the 15% off is applied first.
Given information:
A customer receives a rebate of $5 if they buy a regular priced CD at $13 each, and they can also receive 15% off if they register as a store member.
Calculation:
If customers buy
Then the total discount will be
If 15% off discount is applied first, then the discount will be:
Now, the $5 rebate if applied, then total discount will be
Therefore, the discount will be greatest if the 15% off is applied first.
Conclusion:
The discount will be greatest if the 15% off is applied first.
c.
To find the amount a customer will save if they buy 5 CDs.
Given information:
A customer receives a rebate of $5 if they buy a regular priced CD at $13 each, and they can also receive 15% off if they register as a store member.
Calculation:
From part (b), the greatest discount is received using the function
Now, substitute
The customer saves
Conclusion:
The customer saves
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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