Question

c
a fast food restaurant collected data to study the relationship between the number of employees working and the amount of time customers waited in line to order. a scatter plot of the data showed a trend line with the equation $y = -1.5x + 15$, where $y$ is the number of minutes a customer waits to order, and $x$ is the number of employees working.

1. if miguel waits 6 minutes in line to order, predict the number of employees working.
2. jani arrives to the restaurant when 8 employees are working. predict the amount of time jodi will wait to order.

Explanation:

Step1: Substitute y=6 into the equation

$6 = -1.5x + 15$

Step2: Rearrange to solve for x

$1.5x = 15 - 6$
$1.5x = 9$
$x = \frac{9}{1.5}$

Step3: Calculate x value

$x = 6$

Step4: Substitute x=8 into the equation

$y = -1.5(8) + 15$

Step5: Calculate y value

$y = -12 + 15$
$y = 3$

Answer:

1. 6 employees
2. 3 minutes