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.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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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