Question

Part A

As the company has increased in popularity, it has continued to add employees in all departments. The production facility manager has provided data that shows the relationship between the number of units produced in an hour and the number of workers on the production line during that hour. The data is shown in the table.

Question 1: What type of function would be model the data?
Question 3: Use the graphing tool and best fit function of the tool to write a function that models the data. Round coefficients and constants to the nearest hundredth.
Question 4: Produce about 2300 fidget spinners every hour. How many workers should Marco recommend. Show your work.

Answer 1

9514 1404 393

Answer:

1. a linear model

3. y = 24.97x +417.59

4. 75 workers

Explanation:

1. A graph of the data seems to show it nearly follows a straight line. We have used a linear function to model the data.

3. The linear regression model is ...

y = 24.97x +417.59

4. The graphing calculator shows the point (x, y) ≈ (75.4, 2300) is on the line of best fit. Marco should recommend 75 workers for production of 2300 units per hour.

If you want to solve the linear equation ...

2300 = 24.97x +417.59

you get ...

x = (2300 -417.59)/24.97 ≈ 75.4

About 75 workers are needed.