Answer:
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.