The owner of an apartment building can rent all50apartments if she charges $500per month, but she rents one fewer apartment for each $20increase in monthly rent.

(a) Construct a table that gives the revenue generated if she charges $500, $520, and $540.

No. of Apts Rent Total Revenue

50 $500 $

49 $520 $

48 $540 $

(b) Does her revenue from the rental of the apartments increase or decrease as she increases the rent from $500to $540?

revenue increases

revenue decreases

(c) Write an equation that gives the revenueRfrom rental of the apartments if she makesxincreases of $20in the rent.

R(x) =

(d) Find the rent she should charge to maximize her revenue.

$per month