Question

The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 square foot home is $300,000 what is the price of a 2,000 square foot home?

Answer 1

Answer:

The price of a 2,000 square foot home is $\ 400,000$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the total area of the house in square feet

y -----> the price of the house

we have

The point (1,500,300,000)

Find the constant of proportionality k

$k=y/x$

substitute

$k=300,000/1,500=200$

The direct equation is equal to

$y=200x$

so

For $x=2,000\ ft^{2}$

Find the value of y

substitute the value of x in the equation

$y=200(2,000)$

$y=\ 400,000$