$\text { A real estate office handles an apartment complex with } 50 \text { units. When the rent is }$

Multiple Choice

$\text { A real estate office handles an apartment complex with } 50 \text { units. When the rent is }$ $\$ 800$ per month, all 50 units are occupied. However, when the rent is $\$ 845$ , the average number of occupied units drops to 47 . Assume that the relationship between the monthly rent $p$ and the demand $x$ is linear. Write a linear equation giving the demand $x$ in terms of the rent $p$ .

A) $x = \frac { 1 } { 15 } ( 1595 - p )$
B) $x = \frac { 1 } { 15 } ( 1505 + p )$
C) $x = \frac { 1 } { 45 } ( 1550 + p )$
D) $x = \frac { 1 } { 15 } ( 1550 - p )$
E) $x = \frac { 1 } { 45 } ( 1595 - p )$