Question

A landlady currently rents each of her 50 apartments for $1300 per month. She estimates that for each $100 increase in rent, two additional apartments will remain vacant.

a. Construct a function that represents the revenue R(n) as a function of the number of rent increases, n. (Hint: Find the rent per unit after n increases and the number of units rented after n increases.)

R(n)= 100n+1300n+2
b. After how many rent increases will all the apartments be empty?
I thought I could equal the function to zero, but I got a weird answer of -0.00142
c. What is a reasonable domain for this function?
I graphed and got -5≤ n ≤ 25

I think my function is wrong since my answers were incorrect.
Please Help.

Answer 1

The function should be:

R(n) = (50-2n)*(1300+100*n)