The owner of an apartment building can rent all 60 apartments if she charges $1,600 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,600, $1,650, and $1,700. No. of Apts 60 59 58 Rent Total Revenue $1,600 $ $1,650 $ $1,700 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,600 to $1,700? revenue increases O revenue decreases (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
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The owner of an apartment building can rent all 60 apartments if she charges $1,600 per month, but she rents one fewer apartment for each $50 increase in monthly rent.
(a) Construct a table that gives the revenue generated if she charges $1,600, $1,650, and $1,700.
No. of Apts Rent Total Revenue
60
59
$1,600 $
$1,650 $
$1,700 $
58
(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,600 to $1,700?
O revenue increases
O revenue decreases
(c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent.
R(x) =
(d) Find the rent she should charge to maximize her revenue.
$
per month
Transcribed Image Text:The owner of an apartment building can rent all 60 apartments if she charges $1,600 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,600, $1,650, and $1,700. No. of Apts Rent Total Revenue 60 59 $1,600 $ $1,650 $ $1,700 $ 58 (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,600 to $1,700? O revenue increases O revenue decreases (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = (d) Find the rent she should charge to maximize her revenue. $ per month
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