Comparing Two Salary Structures

 

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PROBLEM SITUATION:You have two job offers. Job 1 has an annual starting salary of $45,650 with the expectation of a $1200 raise each year. Job 2 has an annual starting salary of $42,800 and expectation of a 3.8% annual raise.

1. Tables of future annual salaries can be used to begin to compare the two job offers. Copy the following tables into your report and complete them. (Table listed in instructions)

2. Write the answers to questions a, b, and c using complete sentences. For question d, just write the function rule.a. In which table are the successive differences constant? b. What is that constant difference? c. What type of function can be used to model this salary offer? d. Write the function rule 1()Stthat gives the annual salary after t years on the job. 3. Write the answers to questions a, b, and c using complete sentences. For question d, just write the function rule.a. In which table are the successive ratios constant? b. What is that constant ratio? c. What type of function can be used to model this salary offer? d. Write the function rule 2()Stthat gives the annual salary after t years on the job.4. Use your calculator to obtain, in the same window, the graphs of both salary functions over the domain 0 to 10 years. (Make sure the window you choose shows the outputs for both functions for the given domain.)Go to the Math Lab and either obtain a printout of the screen or copy it to the clipboard and paste it into your WORD document. In either case, label the axes with variable and word labels and label the tic marks on each axis. Look at the window on your graphing calculator to help with this. Label the graphs of each of the two functions with their respective function rules. Give the entire graph a title.

The rest instructions are all in the files

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