SOLUTION: An apartment owner wants to increase the monthly rent from the $250 in x increases of $10. A. What is the new price after the x increase of $10? B. If the number of apartments re

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: An apartment owner wants to increase the monthly rent from the $250 in x increases of $10. A. What is the new price after the x increase of $10? B. If the number of apartments re      Log On


   

Question 201512: An apartment owner wants to increase the monthly rent from the $250 in x increases of $10.
A. What is the new price after the x increase of $10?
B. If the number of apartments rented is 70-2x and the revenue is the number of apartments rented times the rent, what is the revenue?
C.If the owner wants to receive $17,980 per month, how many $10 increases can the owner make?
D. What will be the monthly rent?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a)
250+%2B+10x
b)
%2870+-+2x%29%28250+%2B+10x%29
c)
17980+=+%2870+-+2x%29%28250+%2B+10x%29
17980+=+17500+-+500x+%2B+700x+-+20x%5E2
-20x%5E2+%2B+200x+-+480+=+0
-x%5E2+%2B+10x+-+24+=+0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+-1
b+=+10
c+=+-24
x+=+%28-10+%2B-+sqrt%28+10%5E2-4%2A%28-1%29%2A%28-24%29+%29%29%2F%282%2A%28-1%29%29+
x+=+%28-10+%2B-+sqrt%28+100+-+96+%29%29%2F%28-2%29+
x+=+%28-10+%2B-+sqrt%28+4+%29%29%2F%28-2%29+
x+=+%285+-1+%29
x+=+4
x+=+%285+%2B+1%29
x+=+6
He can make either 4 or 6 $10 rent increases
check:
17980+=+%2870+-+2x%29%28250+%2B+10x%29
17980+=+%2870+-+2%2A4%29%28250+%2B+10%2A4%29
17980+=+%2862%29%28290%29
17980+=+17980
and
17980+=+%2870+-+2x%29%28250+%2B+10x%29
17980+=+%2870+-+2%2A6%29%28250+%2B+10%2A6%29
17980+=+%2858%29%28310%29
17980+=+17980