Question

Data collected from real estate agents were used to calculate the model ŷ = 87x + 108,620, where x represents the size of a house in square feet and ŷ represents the predicted selling price of the house in dollars. Using the model, predict the size of a house that sells for $375,000.

30,618 square feet
32,734 square feet
3,062 square feet
3,273 square feet

Answer 1

@jayfafr

Answer 2

To predict the size of a house that sells for 375,000, we can substitute 375,000 for \hat{y} in the equation \hat{y}=87x+108,620
y
^
​
intheequation
y
^
​
=87x+108,620 and solve for x.

375,000=87x+108,620

Subtract 108,620 from both sides:

375,000-108,620=87x

266,380=87x

Divide both sides by 87:

x=\frac{266,380}{87}
x=
87
266,380
x\approx 3,062x≈3,062

Answer 3

@jayfafr

Answer 4

what is this for ?are you trying to add someone ?

Answer 5

Oh no I just get a second person to check work!

Answer 6

@rhianab112 is correct, but I'll reiterate what they said to where it's easier to read:

Given \(\large y=87x+108,620 \) and y = 375000

Just plug and solve like they did:
\[\Large 375000=87x+108620\]
\[\Large 266380 =87x \]
Divide by the 87, and you get x:
\[\Large x= 3061.8 \approx 3062~ft^2\]

Answer 7

oh i can't believe it

Answer 8

i love math sm