\# DAYs fast food restaurant collected data to study the relationship between the number of cees working and the amount of time customers waited in line to order. A scatter plot 9 days working on the remainin a showed o trend line with the equation \( y=-1.5 x+15 \), where \( y \) is the number of minut er waits to order, and \( x \) is the number of employees working. uel waits 6 minutes in line to order, predict the number of employees working. Joni arrives to the restaurant when 8 employees are working. Predict the amount time Jodi will wait to order.

Let's analyze the given information and solve the problems step by step. ### Given: - **Trend Line Equation:** \( y = -1.5x + 15 \) - \( y \) = Number of minutes a customer waits to order. - \( x \) = Number of employees working. ### 1. Predicting the Number of Employees When a Customer Waits 6 Minutes **Equation:** \[ y = -1.5x + 15 \] **Given:** \[ y = 6 \text{ minutes} \] **Plugging in the value:** \[ 6 = -1.5x + 15 \] **Solving for \( x \):** \[ \begin{align*} 6 &= -1.5x + 15 \\ 6 - 15 &= -1.5x \\ -9 &= -1.5x \\ x &= \frac{-9}{-1.5} \\ x &= 6 \text{ employees} \end{align*} \] **Conclusion:** If a customer waits **6 minutes**, there are **6 employees** working. ### 2. Predicting the Waiting Time When 8 Employees are Working **Given:** \[ x = 8 \text{ employees} \] **Plugging in the value:** \[ \begin{align*} y &= -1.5(8) + 15 \\ y &= -12 + 15 \\ y &= 3 \text{ minutes} \end{align*} \] **Conclusion:** When **8 employees** are working, a customer (like Joni) will wait **3 minutes** to order. ### Summary - **6-minute wait:** **6 employees** are working. - **8 employees:** The waiting time is **3 minutes**.