A real estate office manages an apartment complex with 50 units. When the rent is $650 per month, all 50 units are occupied. However, when the rent is $694, the average number of occupied units drops to 46. Assume that the relationship between the monthly rent p and the demand x linear. (Note: the term demand refers to the number of occupled units.) (a) Write a linear equation giving the demand x in terms of the rent p. x (p) = (b) Use a graphing utility to graph the demand equation and use the trace feature predict the number of units occupled if the rent is raised to $705. units (c) Predict the number of units occupled if the rent is lowered to $672. Verify graphically. units

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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A real estate office manages an apartment complex with 50 units. When the rent is $650 per month, all 50 units are occupled. However, when the rent is $694, the average number of occupled units drops to 46. Assume that the relationship between the monthly rent p and the demand x Is
linear. (Note: the term demand refers to the number of occupled units.)
(a) Write a linear equation giving the demand x in terms of the rent p.
x (p) =
(b) Use a graphing utility to graph the demand equation and use the trace feature to predict the number of units occupled if the rent is raised to $705.
units
(c) Predict the number of units occupled if the rent is lowered to $672. Verify graphically.
units
Transcribed Image Text:A real estate office manages an apartment complex with 50 units. When the rent is $650 per month, all 50 units are occupled. However, when the rent is $694, the average number of occupled units drops to 46. Assume that the relationship between the monthly rent p and the demand x Is linear. (Note: the term demand refers to the number of occupled units.) (a) Write a linear equation giving the demand x in terms of the rent p. x (p) = (b) Use a graphing utility to graph the demand equation and use the trace feature to predict the number of units occupled if the rent is raised to $705. units (c) Predict the number of units occupled if the rent is lowered to $672. Verify graphically. units
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