d. y = 64 + 22x\n5. the table shows the number of employees and number of active customer accounts for some…

d. y = 64 + 22x\n5. the table shows the number of employees and number of active customer accounts for some different marketing companies.\nnumber of employees 1 2 3 4 10\nnumber of customers 4 8 13 17 39\nwould a linear or exponential model for the relationship between number of employees and number of customers be more appropriate? explain how you know.

d. y = 64 + 22x\n5. the table shows the number of employees and number of active customer accounts for some different marketing companies.\nnumber of employees 1 2 3 4 10\nnumber of customers 4 8 13 17 39\nwould a linear or exponential model for the relationship between number of employees and number of customers be more appropriate? explain how you know.

Answer

Explanation:

Step1: Check for constant - rate of change

Find the differences in the number of employees and customers. For employees, the differences are (2 - 1=1), (3 - 2 = 1), (4 - 3=1), (10 - 4 = 6). For customers, the differences are (8 - 4 = 4), (13 - 8 = 5), (17 - 13 = 4), (39 - 17 = 22).

Step2: Analyze the pattern

Since the differences in the number of customers for a unit - increase in the number of employees are not constant, an exponential model is not appropriate. Also, since the differences are somewhat close (not following a perfect linear pattern but more linear - like than exponential), a linear model is more appropriate as exponential models have a constant ratio of change which is not the case here.

Answer:

A linear model is more appropriate because the differences in the number of customers for unit - increases in the number of employees are not constant (ruling out an exponential model), and the data shows a more linear - like trend rather than an exponential one.