unit is $580 per month, all 50 units are occupied. However, when the rent is $625 per month, the average number of occupied units drops to 47. Assume that the relationship between the monthly rent p and the demand x is linear. (a) Write the equation of the line giving the demand x in terms of the rent p. x = −1/15p (b) Use a graphing utility to graph the demand equation and use the trace feature to estimate the number of units occupied when the rent is $685. Verify your answer algebraically. units (c) Use the demand equation to predict the number of units occupied when the rent is lowered to $595. Verify your answer graphically.
unit is $580 per month, all 50 units are occupied. However, when the rent is $625 per month, the average number of occupied units drops to 47. Assume that the relationship between the monthly rent p and the demand x is linear. (a) Write the equation of the line giving the demand x in terms of the rent p. x = −1/15p (b) Use a graphing utility to graph the demand equation and use the trace feature to estimate the number of units occupied when the rent is $685. Verify your answer algebraically. units (c) Use the demand equation to predict the number of units occupied when the rent is lowered to $595. Verify your answer graphically.
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
Related questions
Question
A real estate office handles an apartment complex with 50 units. When the rent per unit is $580 per month, all 50 units are occupied. However, when the rent is $625 per month, the average number of occupied units drops to 47. Assume that the relationship between the monthly rent p and the demand x is linear.
(a) Write the equation of the line giving the demand x in terms of the rent p.
x = −1/15p
(b) Use a graphing utility to graph the demand equation and use the trace feature to estimate the number of units occupied when the rent is $685. Verify your answer algebraically.
units
(c) Use the demand equation to predict the number of units occupied when the rent is lowered to $595. Verify your answer graphically.
units
x = −1/15p
(b) Use a graphing utility to graph the demand equation and use the trace feature to estimate the number of units occupied when the rent is $685. Verify your answer algebraically.
units
(c) Use the demand equation to predict the number of units occupied when the rent is lowered to $595. Verify your answer graphically.
units
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