Question

question 1 (multiple choice worth 5 points) (linear models mc) data collected from real - estate agents were used to calculate the model ŷ = 86x + 102,540, 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 $325,000. 2,587 square feet 2,805 square feet 25,867 square feet 28,053 square feet

Explanation:

Step1: Set up the equation

We are given the model $\hat{y}=86x + 102540$, where $\hat{y}$ is the predicted selling - price and $x$ is the size of the house in square feet. We know that $\hat{y}=325000$. So we set up the equation $325000 = 86x+102540$.

Step2: Isolate the term with $x$

Subtract 102540 from both sides of the equation: $325000−102540=86x$. So, $222460 = 86x$.

Step3: Solve for $x$

Divide both sides of the equation by 86: $x=\frac{222460}{86}=2586.74\approx2587$ square feet.

Answer:

2587 square feet