Question

Please answer my question I WILL MARK BRANLIEST, AND ANSWER ONE OF YOUR QUESTIONS!!!!

Answer 1

Answer:

y  =  (4/3)x - 50  

Step-by-step explanation:

Step 1 :

Identify the independent and dependent variables.

The independent variable (x) is the square footage of floor space.

The dependent variable (y) is the monthly rent.

Step 2 :

Write the information given in the problem as ordered pairs.

The rent for 600 square feet of floor space is $750 :

(600, 750)

The rent for 900 square feet of floor space is $1150 :

(900, 1150)

Step 3 :  

Find the slope.  

m  =  (y₂ - y₁) / (x₂ - x₁)

Substitute (600, 750) for (x₁, y₁) and (900, 1150) for (x₂, y₂).

m  =  (1150 - 750) / (900 - 600)

m  =  400 / 300

m  =  4/3

Step 4 :  

Find the y-intercept.

Use the slope 4/3 and one of the ordered pairs (600, 750).

Slope-intercept form :  

y  =  mx + b

Plug m = 4/3,  x = 600 and y = 750.  

750  =  (4/3)(600) + b

750  =  (4)(200) + b

750  =  800 + b

-50  =  b

Step 5 :  

Substitute the slope and y-intercept.

Slope-intercept form

y  =  mx + b  

Plug m = 4/3 and b = -50

y  =  (4/3)x + (-50)

y  =  (4/3)x - 50  

Answer 2

Answer:

y  =  (4/3)x - 50  

Step-by-step explanation: