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 to47. Assume that the relationship between the monthly rentpand the demandxis linear.

(a) Write the equation of the line giving the demandxin terms of the rentp.

x=

(b) Use a graphing utility to graph the demand equation and use thetracefeature 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$595. Verify your answer graphically.

_____units