Areal estate office manages an apartment complex with 50 units. when the rent is $780 per month, all 50 units are occupied. however, when the rent is $825, the average number of occupied units drops to 47. assume that the relationship between the monthly rent p and the demand x is linear (note: the term demand refers to thenumber of occupied units.)
(a) write a linear equation giving the demand x in terms of the rent p. (b) linear extrapolation - use a graphing utility to graph the demand equation and use the trace feature to predict the
number of units occupied when the rent is raised to $855. (c) linear interpolation - predict the number of units occupied when the rent is lowered to $795.

A) The linear equation is

B) When the rent is raised to $855 the number of units occupied is 45.

C) When the rent is lowered to $795 the number of units occupied is 49.  

Step-by-step explanation:

A) A linear equation for the demand is written as , where is the slope, is the number of occupied units, is the rent.

is calculated using the problem information. When the rent is then and when the rent is then .

Using the slope equation we have:

Thus the linear equation is:

In order to calculate we use the problem information, When the rent is then number of occupied units is , thus:

Finally, the linear equation is:

B) The demand equation is plot in the attached file, the number of units occupied when the rent is raised to $855 is 45.

C) In order to predict the number of occupied units lets use the equation:

where , then:

Thus, when the rent is lowered to $795 the number of units occupied is 49.  

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

if x = 1, then the answer is 3.5