Applications Of Quadratic Functions Worksheet With Answers - Math 1314, Ch 3.1 Page 4

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Math 1314
3.1 Applications of Quadratic Functions
(Solutions are on the next page)
1. Determine the minimum or maximum values of each function.
6
72
90
2
8
1
a)
b)
2. Find two numbers whose difference is 80 and whose product is the minimum possible value.
3. Find two numbers whose sum is 16 and whose product is the maximum possible value.
4. The revenue of a charter bus company depends on the number of unsold seats. If the revenue
50
5000, where x is the number of unsold seats, find
in dollars is given by
the number of unsold seats that produce maximum revenue. What is the maximum revenue?
5. A fourth grade class decides to enclose a rectangular garden, using the side of the school as
one side of the rectangle. What is the maximum area that the class can enclose with 32 feet of
fence? What should the dimensions of the garden be in order to yield this area?
6. A farmer wishes to put a fence around a rectangular field and then divide the field into three
rectangular plots by placing two fences parallel to one of the sides. If the farmer can afford only
1000 yards of fencing, what dimensions will give the maximum rectangular area?

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