A real estate agency has fixed monthly costs associated with rent, staff salaries, utilities, and supplies. It earns its money by taking a percentage commission on total real estate sales. During the month of July, the agency had total sales of $832,000 and showed a net income (after paying fixed costs) of $15,704. In August, total sales were $326,000 with a net income of only $523. (a) Use a formula to express net income as a linear function of total sales. Let N be the net income in dollars, and let s be the total sales in dollars. (Round the terms to two decimal places.) N(s) = (b) Plot the graph of net income. N 20000 10000- 0 -10000 N 20000 10000 0 -10000 200000 400000 6 600000 800000 200000 400000 600000 800000 S O O N N 20000 10000 0 -10000 20000 10000- 01 -10000 200000 400000 600000 800000 S 200000 400000 600000 800000 $

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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Identify the slope and vertical intercept. (Round your answers to two decimal places.)
slope
vertical intercept (s, N) =
(c) What are the real estate agency's fixed monthly costs? (Round your answer to two decimal places.)
$
(d) What percentage commission does the agency take on the sale of a home? (Round your answer to two decimal places.)
%
(e) Find the horizontal intercept. (Round your answers to two decimal places.)
(s, N) = (C
Explain what this number means to the real estate agency.
The horizontal intercept $
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is the total ---Select---
sales needed for the agency to break even.
Transcribed Image Text:Identify the slope and vertical intercept. (Round your answers to two decimal places.) slope vertical intercept (s, N) = (c) What are the real estate agency's fixed monthly costs? (Round your answer to two decimal places.) $ (d) What percentage commission does the agency take on the sale of a home? (Round your answer to two decimal places.) % (e) Find the horizontal intercept. (Round your answers to two decimal places.) (s, N) = (C Explain what this number means to the real estate agency. The horizontal intercept $ Need Help? Read It is the total ---Select--- sales needed for the agency to break even.
A real estate agency has fixed monthly costs associated with rent, staff salaries, utilities, and supplies. It earns its money by taking a percentage commission on total real estate sales. During the
month of July, the agency had total sales of $832,000 and showed a net income (after paying fixed costs) of $15,704. In August, total sales were $326,000 with a net income of only $523.
(a) Use a formula to express net income as a linear function of total sales. Let N be the net income in dollars, and let s be the total sales in dollars. (Round the terms to two decimal places.)
N(S) =
(b) Plot the graph of net income.
N
O
20000
O
N
10000
0
-10000
20000
10000
0
-10000
200000 400000
S
600000 800000
200000 400000 600000 800000
O
O
N
20000
N
10000
0
-10000
20000
10000
0
-10000
200000
400000 600000 800000
200000 400000 600000 800000
S
scimal placer l
Transcribed Image Text:A real estate agency has fixed monthly costs associated with rent, staff salaries, utilities, and supplies. It earns its money by taking a percentage commission on total real estate sales. During the month of July, the agency had total sales of $832,000 and showed a net income (after paying fixed costs) of $15,704. In August, total sales were $326,000 with a net income of only $523. (a) Use a formula to express net income as a linear function of total sales. Let N be the net income in dollars, and let s be the total sales in dollars. (Round the terms to two decimal places.) N(S) = (b) Plot the graph of net income. N O 20000 O N 10000 0 -10000 20000 10000 0 -10000 200000 400000 S 600000 800000 200000 400000 600000 800000 O O N 20000 N 10000 0 -10000 20000 10000 0 -10000 200000 400000 600000 800000 200000 400000 600000 800000 S scimal placer l
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