Write and solve a linear equation to find the monthly rent for a 1500 square foot office.

Question

The monthly rent for an 800 square foot office is $975. For an 1100 square foot the rent is $1125. 

Answer 1

(800, $975), (1100, $1125), (1500, x)

(1125-975)/(1100-800)=150/300=1/2

(x-1125)/(1500-1100)=1/2

(x-1125)/400=1/2

2(x-1125)=1(400)

2x-2250=400

2x=2250+400

2x=2650

x=$1325 is the monthly rent for 1500 sq ft

Answer 2

 

For 300 more square feet the rent is $150 more.

Rent per additional square foot is 150/300, or 0.50.

 

The rent per additional square foot is $0.50.

 

For an additional 400 square fee the rent is an additional 400(0.50), or $200.

 

The rent for 1500 ft² office is $1325.

 

This could also be done with a system of two equations.