The manager of a fast-food restaurant collected data to study the relationship between the number of employees working registers and the number of time customers waited in line to order. He made a scatter plot of the data and created a trend line with the equation y = -70x + 300, where y is the total amount of time waited in seconds and x is the number of employees working registers.
1. Kiara went to the restaurant and waited 3.5 minutes. Use the trend line equation to predict how many employees were working.
2. Jayden walked into the restaurant and 4 employees were working registers. Use the trend line and equation to predict how long he will wait to place his order.
Answers
Answer:
Step-by-step explanation:
I assume Kiara was waiting 3 min and 50 seconds = 230 seconds
230 = -70x +300
-70 = -70x
so x = 1
1 person at the register
Jayde
time = -70x +300
number working is 4 so x=4
time = -280+300 = 20
so the waiting time is 20 seconds
Answer:
1 employee for Kiara
Step-by-step explanation:
3.5 minutes is 180 seconds PLUS 30 seconds because the 0.5 minutes represent 30 seconds as it is split in half, thus, 210 seconds added up together. Now the equation is now 210=-70x+300. Subtract 300 on both sides of the equation, which is -90, then divide both sides by -70 to split the variable of x, it is -90/-70, the answer is 9/7 or 1 2/7 or 1.285714. . . . We round it to 1 employee because you cannot have 1.2 employees and it's nearer to 1 then 2. It would be 2 if it was at least 1.5 to 1.9, but in this case, it didn't so, 1 employee.
Jayden's is correct from the former answer.