SOLUTION: 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 av

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 av      Log On


   

Question 263593: 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 betweeen the monthly rent p and the demand x is linear. Write the equation of the line giving the demand x in terms of the rent p. Use this equation to predict the number of units occupied when the rent $655. Predict the number of units occupied when the rent is $595.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
use 580 and 50 as x and y
625 and 47 as another x and y
find the slope
(y-y)/(x-x)=m
y=mx +b
plug in one of the two s's and y's and the new m, to find b
then insert the new m and the new b in y=mx+b
now insert x as 655 and again as 595 to find the number of units rented