To state: A function that models the relationship between the number a of awards and the cost c of each award, the domain and range of the function if a high school decided to spend $750 on student academic achievement awards. At least 5 awards will be given, they should be equal in value, and each award should not be less than $50.
The resultant function is
Given information:
A high school decided to spend $750 on student academic achievement awards. At least 5 awards will be given, they should be equal in value, and each award should not be less than $50.
Explanation:
Let’s take a as the number of awards given to students and c as the cost of each award.
The total money spent on all awards is $750.
It can be written as:
Therefore, the relationship between the number of awards and the cost of each award is
Now find the domain and range.
It is given that at least 5 awards will be given, they should be equal in value, and each award should not be less than $50.
Substitute c as 50 in
So, the number of awards ranges from 5 to 15.
Therefore, the domain is
For
Therefore, the range is
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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