A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit per year. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 boxes. Let a represent the number of additional trees planted, where the yield is: y = (#trees) (boxes of fruit per tree). . How many total trees should she plant per acre to maximize her harvest? (hint: there could be more or fewer than 50 trees planted to do this) She should plant 34 total boxes of fruit. (Round your answers to the nearest whole number) total trees in each acre to maximize her yield of Number

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit per
year.
She estimates that for each additional tree planted per acre, the yield of each tree will
decrease by 4 boxes.
Let a represent the number of additional trees planted, where the yield is:
y = (#trees). (boxes of fruit per tree).
How many total trees should she plant per acre to maximize her harvest?
(hint: there could be more or fewer than 50 trees planted to do this)
She should plant 34
total boxes of fruit. (Round your answers to the nearest whole number)
total trees in each acre to maximize her yield of Number
Transcribed Image Text:A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit per year. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 boxes. Let a represent the number of additional trees planted, where the yield is: y = (#trees). (boxes of fruit per tree). How many total trees should she plant per acre to maximize her harvest? (hint: there could be more or fewer than 50 trees planted to do this) She should plant 34 total boxes of fruit. (Round your answers to the nearest whole number) total trees in each acre to maximize her yield of Number
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