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A real estate office manages an apartment complex with 60 units. When the rent is $710 per month, all 60 units are occupied. However, when the rent is $761, the average number of occupied units drops to 57. Assume that the relation between the monthly rent p and the demand x is linear. (Note: the term demand refers to the number of occupied 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 occupied if the rent is raised to $795. units (c) Predict the number of units occupied if the rent is lowered to $744. Verify graphically. units

A real estate office manages an apartment complex with 60 units. When the rent is $710 per month, all 60 units are occupied. However, when the rent is $761, the average number of occupied units drops to 57. Assume that the relation between the monthly rent p and the demand x is linear. (Note: the term demand refers to the number of occupied 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 occupied if the rent is raised to $795. units (c) Predict the number of units occupied if the rent is lowered to $744. Verify graphically. units

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A real estate office manages an apartment complex with 60 units. When the rent is $710 per month, all 60 units are occupied. However, when the rent is $761, the average number of occupied units drops to 57. Assume that the relationship between the monthly rent p and the demand x is linear. (Note: the term demand refers to the number of occupied 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 occupied if the rent is raised to $795. units (c) Predict the number of units occupied if the rent is lowered to $744. Verify graphically. units
Transcribed Image Text:A real estate office manages an apartment complex with 60 units. When the rent is $710 per month, all 60 units are occupied. However, when the rent is $761, the average number of occupied units drops to 57. Assume that the relationship between the monthly rent p and the demand x is linear. (Note: the term demand refers to the number of occupied 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 occupied if the rent is raised to $795. units (c) Predict the number of units occupied if the rent is lowered to $744. Verify graphically. units
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