Question

The CEO of a start-up technology company was interested in the rapid growth of his company and employees. A table is given with the data collected in the first year of business.

Months Total Employees
0 3
1 4
2 7
3 9
4 13
5 18
6 25
7 32
8 40
9 50
10 63
11 75
12 90

Based on the data, what does the slope of the best model of fit tell us about the relationship of the months and the total number of employees in the company?
The predicted number of total employees in the company are multiplied by an additional factor of 1.3 for each increase in one month.
The predicted number of total employees in the company are multiplied by an additional factor of 3.7 for each increase in one month.
The predicted number of total employees in the company is increasing by 7.1 for each increase in one month.
The predicted number of total employees in the company is increasing by 9.6 for each increase in one month.

Answer 1

The slope of the best model of fit tells us that the predicted number of total employees in the company is increasing by 9.6 for each increase in one month.

Step-by-step explanation:

The slope of the best model of fit tells us how the dependent variable (total number of employees) changes for every one unit increase in the independent variable (months), on average.

In this case, the slope is 9.6, which means that for every one month increase, the total number of employees in the company is predicted to increase by 9.6.

Therefore, the correct answer is: The predicted number of total employees in the company is increasing by 9.6 for each increase in one month.