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

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

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`