Evaluate the following. a. A salesperson whose annual earnings can be represented by the function P(x) = 40000 +x, where x is the won value of the merchandise he sells. His 25 son is also in sales and his earnings are represented by the function S(x) = 25000 +x. Find (P + S)(x) and determine the total family income if each of 20 them sells 15 000 000 won worth of merchandise.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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Evaluate the following.
a. A salesperson whose annual earnings can be represented by the function
1
P(x) = 40000 +x, where x is the won value of the merchandise he sells. His
son is also in sales and his earnings are represented by the function S(x) =
x. Find (P + S)(x) and determine the total family income if each of
25
%3D
1
25000 +
20
them sells 15 000 000 won worth of merchandise.
b. The owner of a small restaurant can prepare a particular meal at a cost of 100
won. He estimates that if the menu price of the meal is x won, then the number
of customers who will order that meal at that price in an evening is given by the
function M(x) = 300 – x. Express his day revenue, total cost and profit on this
meal as functions of x.
c. Let f(x) = x² + 5x + A and g(x) = 2x + 7.
i. Find the value of A so that (f – g)(3) = 4.
ii. What should be the value of A if (f + g)(2) = 20.
Transcribed Image Text:Evaluate the following. a. A salesperson whose annual earnings can be represented by the function 1 P(x) = 40000 +x, where x is the won value of the merchandise he sells. His son is also in sales and his earnings are represented by the function S(x) = x. Find (P + S)(x) and determine the total family income if each of 25 %3D 1 25000 + 20 them sells 15 000 000 won worth of merchandise. b. The owner of a small restaurant can prepare a particular meal at a cost of 100 won. He estimates that if the menu price of the meal is x won, then the number of customers who will order that meal at that price in an evening is given by the function M(x) = 300 – x. Express his day revenue, total cost and profit on this meal as functions of x. c. Let f(x) = x² + 5x + A and g(x) = 2x + 7. i. Find the value of A so that (f – g)(3) = 4. ii. What should be the value of A if (f + g)(2) = 20.
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