Question

the price for chicken and the amount sold are recorded in the table. chicken price per pound (in dollars) chicken sold (in pounds) 3.52 25 3.89 22 3.99 22 4.14 20 4.56 19 4.78 17 4.98 15 5.12 10 5.49 10 the equation ŷ = - 7.828x + 52.977 models the data, where x represents the chicken price per pound and ŷ represents the predicted number of pounds sold. for which of the following prices would predicting the amount sold be an extrapolation? $3.70 $3.00 $5.00 $4.75

Explanation:

Step1: Identify the range of x - values in the data

The x - values (chicken price per pound) in the table range from approximately $3.52$ to $5.49$.

Step2: Determine extrapolation

Extrapolation is using a model to predict values outside the range of the observed data. We check which price is outside the range of $3.52$ to $5.49$.

• For $x = 3.00$, it is less than the lowest value in the data set ($3.52$).
• For $x = 3.70$, it is within the range $3.52 - 5.49$.
• For $x = 4.75$, it is within the range $3.52 - 5.49$.
• For $x = 5.00$, it is within the range $3.52 - 5.49$.

Answer:

$3.00$