Areal 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 between the monthly rent p and the demand x is linear.
(a) write the equation of the line giving the demand x in terms of the rent p.
x =
(b) use a graphing utility to graph the demand equation and use the trace feature to estimate the number of units occupied when the rent is $655. verify your answer algebraically.
units
(c) use the demand equation to predict the number of units occupied when the rent is lowered to $610. verify your answer graphically.
units

a.

b.

c.

Explanation:

a.

using the point-slope form we have that:

y= mx + b

m being the slope which has the next equation:

y is the rent price

x is the units of the apartment complex rented

Now we find the Y intercept (b):

580=-15(50)+b

580=-750+b

b=580+750 = 1330

We have the equation:

y=-15x + 1330

Now we have tu put in terms of the rent p (y)

y=-15x + 1330

15x = 1330 - y

b.

The first graph attached corresponds to the equation showed in point a.

The second graph attached corresponds to the equation if the rent is $655

Using the trace feature it is estimated that for a rent price of $655 the units occupied are 45.

c. The third graph attached corresponds to the equation if the rent is $610

Using the trace feature it is estimated that for a rent price of $610 the units occupied are 48.

it's obviously d. it could be c though.

answer (b); /// a method of measuring the opinions of a large group of people by selecting a subset of the larger group, asking them a set of questions and then generalizing those responses;