A company is offering newly hired employees three salary structures.

Question

A company is offering newly hired employees three salary structures. One option computes raises by adding $1,000 and then a 3% increase. Another option computes raises by adding a 3% increase and then $1,000. A final option computes raises by adding a 5% increase.

a). Write a function for computing the new salary under each plan, where NS = new salary and S = old salary.

Add $1,000; increase by 3% NS₁ =

Increase by 3%; add $1,000 NS₂ =

Increase by 5% NS₃ =

b). In each function, what is the independent variable? What are the dependent variables?

c). Using the functions you created, complete the following table. All amounts are in dollars.

Old Salary, S NS₁ = NS₂ = NS₃ =

10,000

20,000

30,000

40,000

50,000

d). Simplify the first function and list the three functions here. What do you notice about their slopes and y-intercepts?

NS₁ =

NS₂ =

NS₃ =

e). Of Options 1 and 2, which will always be better and why?

f). Solve an equation to determine for which original salary amount the first two options produce equal new salaries.

g). Solve an equation to determine for which original salary amount the second and third options produce equal new salaries.

Answer 1

Hi Yuliya D.

Can you follow the instructions as written or let us know if there is something about the instructions above that you have a question about?

You can look up the terms Dependent and Independent variables in your text or online.

You can also look up the Slope Intercept form of a line, once found you have the option of graphing your functions at Desmos.com.

Please give those a try.