Question

this scatter plot shows the average wait times for customers and the number of staff members at 12 fast food restaurants. what does the linear model predict the wait time will be for a fast food restaurant with 10 staff members? minutes model $y = -1.5x + 20$

Explanation:

Step1: Identify the linear model

The linear model is given by \( y = -1.5x + 20 \), where \( x \) represents the number of staff members and \( y \) represents the average wait time (in minutes).

Step2: Substitute \( x = 10 \) into the model

We need to find the wait time when there are 10 staff members, so we substitute \( x = 10 \) into the equation \( y = -1.5x + 20 \).

\[

$$\begin{align*} y&=-1.5(10)+20\\ &=-15 + 20\\ &= 5 \end{align*}$$

\]

Answer:

5