To find the if it is better to use the coupon before or after the store discount.
It is better to use the coupon after the store discount.
Given information:
A store offers 50% discount off a $4.00 box of cereal, and the person has a $1 coupon off for the same.
Calculation:
Let
Then, the function representing the price after store discount is
If the person applies the coupon on actual price of the cereal, the price of the cereal will be
Now, the price of cereal on applying the discount coupon before the store discount is given by
Now, find the functions
Now, find the values when
This shows that the price of cereal on applying the discount coupon before the store discount is $1.5 and the price when the coupon applied after the store discount is $1. Therefore, it is better to use the coupon after the store discount.
Conclusion:
It is better to use the coupon after the store discount.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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