The annual yield per walnut tree is fairly constant at 50 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 1.5 pounds due to overcrowding. Solve; a. Express the yield per tree, Y, in pounds, as a function of the number of walnut trees per acre, x. b. Express the total yield for an acre, T, in pounds, as a function of the number of walnut trees per acre, x.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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The annual yield per walnut tree is fairly constant at 50 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 1.5 pounds due to overcrowding. Solve;

a. Express the yield per tree, Y, in pounds, as a function of the number of walnut trees per acre, x.

b. Express the total yield for an acre, T, in pounds, as a function of the number of walnut trees per acre, x.

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Find T(10) and T(40). You may use a calculator. 

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