An apple orchard has an average yield of 37 bushels of apples/tree if tree density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 22/acre, find a function in x that gives the yield of apples.
A) f(x) = (22 + x)(37 - 3x)
B) f(x) = (22 - x)(37 + 3x)
C) f(x) = 3(22 - x)(37 - 3x)
D) f(x) = 3(22 + x)(37 - x)
E) f(x) = (22 + x)(37 + 3x)

Question

Quizplus · Accepted Answer

The yield is 37 bushels/tree if the tree density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. So, if the tree density is 22 + x trees/acre, the yield is 37 - 3x bushels/tree. The total yield is the yield per tree times the number of trees, so the total yield is (22 + x)(37 - 3x) bushels.

An Apple Orchard Has an Average Yield of 37 Bushels