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 (aften paying fixed costs) of $15,704. In August, total sales were $326,000 vith 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 tvo decimal places.) (b) Plot the graph of net income. 2000 2000 400000 60000 2000 4000 e o0 -1000 200000 0000 600000 200000 400000 600000 -10000 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.) (5, N) - (| Explain what this number means to the real estate agency. The horizontal intercept $ is the total Select v sales needed for the agency to break even.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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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 W 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.
20000
20000
N
N
10000
10000
200000 40o000
600000 800000
200000 400000 600000 800000
-10000
-10000
20000
20000
N
N
10000
10000
of
200000
400000
800000
600000
200000
400000
600000 800000
-10000
-10000
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.)
(5, N) = (|
Explain what this number means to the real estate agency.
The horizontal intercept $
is the total ---Select--- vsales needed for the agency to break even.
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 W 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. 20000 20000 N N 10000 10000 200000 40o000 600000 800000 200000 400000 600000 800000 -10000 -10000 20000 20000 N N 10000 10000 of 200000 400000 800000 600000 200000 400000 600000 800000 -10000 -10000 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.) (5, N) = (| Explain what this number means to the real estate agency. The horizontal intercept $ is the total ---Select--- vsales needed for the agency to break even.
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