Question

the monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. Write and solve a linear equation to find the monthly rent for a 1500 square foot office.

Answer 1

 For 300 more square feet the rent is $150 more. 
Rent per additional square foot is 150/300 or 0.50. 
For an additional 400 square feet the rent is an additional 400(0.50) or $200. 
The rent for 1500 feet squared office is $1325.

Answer 2

Answer:

$1325

Step-by-step explanation:

Given :

The monthly rent for an 800 square foot office is $975.

For an 1100 square foot office, the rent is $1125.

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

Solution:

We will form the equation using two points equation formula

$(x_1,y_1)=(800,975)$

$(x_2.y_2)=(1100,1125)$

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the values

$y-975=\frac{1125-975}{1100-800}(x-800)$

$y-975=0.5(x-800)$

$y-975=0.5x-400$

$y=0.5x-400+975$

$y=0.5x+575$

So, a linear equation to find the monthly rent is $y=0.5x+575$ where x is the square feet and y is the monthly rent.

Now we are supposed to find the monthly rent for a 1500 square foot office.

Substitute x = 1500

$y=0.5(1500)+575$

$y=1325$

Hence the monthly rent for a 1500 square foot office is $1325 .