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 squa

Question

2 months ago

8

re foot home is $300,000 what is the price of a 2,000 square foot home?

1 answer:

zzz [12.3K] · Answer 1 · 2026-02-17T09:39:14+03:00

Answer:

The cost for a 2,000 square foot house is $\$400,000$

Detailed explanation:

Recall that if two variables x and y vary directly, the relationship can be written as $y/x=k$ or $y=kx$ .

Define:

x as the house area in square feet

y as the price of the house

Given point (1500, 300000)

Calculate proportionality constant k:

$k=y/x$

Insert values:

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

The direct variation equation is:

$y=200x$

For x = 2000:

Calculate y:

Replace x in equation:

$y=200(2,000)$

$y=\$400,000$