A dairy spends $27,000 per year to maintain its barns and equipment. It costs $4000 per year to feed and care for each dairy cow. (a) Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows. E = (b) Use functional notation to express the total expense if the dairy has 50 cows. 50E E(50) E(50C) E(4000) E(27,000) (c) Calculate the value from part (b). $
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.
A dairy spends $27,000 per year to maintain its barns and equipment. It costs $4000 per year to feed and care for each dairy cow.
(a)
Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows.
E =
(b)
Use functional notation to express the total expense if the dairy has 50 cows.
50E
E(50)
E(50C)
E(4000)
E(27,000)
(c)
Calculate the value from part (b).
$
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