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(U2) End of Unit Task - "Boss Decisions" (Competency Graded)

Last updated over 2 years ago
15 questions
Today's Learning Goal:
  • Model both linear and exponential functions with tables, graphs and equations.
  • Compare the end behavior of linear and exponential functions and make arguments about why exponential functions eventually exceed linear functions.
  • Make modeling decisions about whether a discrete or continuous model is more appropriate.
  • Interpret the point of intersection of two functions as the value that occurs when f(x) = g(x).
Reminders:
Discrete functions have distinct and separate values and are used for things that can be counted. (countable)
Continuous functions can have any value within a specific interval and values are connected. (measureable)
Domain of a function: The numbers that can be used as possible inputs
Today's Materials:
  1. Laptop
  2. Pencil
  3. Binder
Please complete the Jump Start (activator). This is independent it should be silent.
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0

Write the explicit equation for the linear function f(x) if the rate of change is 500 and f(0)=31000.

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Write the explicit equation of the function g(x) if the ratio is 1.04 and g(0)=29000.

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0

If there was a context that included a percent of increase in #2, what percent is the increase per x?

Lets review some key points before beginning the end of unit task. Feel free to take any notes and ask questions.
Review Problem Click here to follow along

Unit 2 Task: Boss Decisions

Part 1 – Background Information
Provide some background information for your company and the parts that will follow.
Required
4

Did you answer Part 1: Background information in the task packet?

Part 2 – Modeling – Complete on Final Draft Modeling Page
Use the information given to model the two salary packages using different representations. (equations, tables, and graphs)
Required
4

Did you complete Part 2 – Modeling – Complete on Final Draft Modeling Page in the task packet?

Part 3 – Making Boss Decisions – Complete in Formative
You will get some employee hiring scenarios, be asked to explain choices, and discuss your rationale.
a. Hiring Scenario 1:You want to hire Adrien Gomez very talented hard worker, but he only expects to work for 3 years at your company due to his definite plans to move to Nigeria.
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4

i. What package will you offer him? Explain this choice.

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4

ii. How much difference is there between the packages at 3 years working? Show your work.

b. Hiring Scenario 2: You want to hire Lauren Hill, qualified and excited to start working for you. She plans on working for at least 10 years.
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4

i. Which package will you offer her? Explain this choice.

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4

ii. How much difference is there between the packages at 10 years working? Show your work.

c. Hiring Scenario 3:For any hire that commits to work for the full 15 years, you decide to give them the package that pays the most.
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4

i. Which package would give them the most money and how much is that?

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ii. Explain how you would know which package pays the most using equations, tables, and graphs. (Discuss your rationale for each one.)

d. Go to your final graph and label the point where A(x) = B(x).
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4

i. What are the estimated coordinates of this point?

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4

ii. What makes this point special? Explain what the point means in the context of this task.

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4

Part 4 – Task Write Up
Please keep these points in mind when completing your write-up for the performance task.
  • Problem Statement – State the problem in your own words. Your problem statement should be clear enough that someone unfamiliar with the problem could understand what it is that you were being asked to do.
  • Process and Solution – Describe what steps you took in attempting to solve the problem. Include steps that didn’t work out or that seemed like a waste of time. State your solution as clearly as possible. Explain why you think your solution is correct and complete.
  • Evaluation – Discuss your personal reaction to this problem. Also, state if you think you achieved the goal of the task.

Part 5 – Use of tools and Technology
As your work through your summative task, please take note of the tools and technology you use:
  • How did you use the tool or technology?
  • Why was the tool or technology useful for your task?
  • How did the tool or technology help you to work more efficiently?
FIll out on paper neatly. Keep in the process folder.
Required
4

Tool and techonology sheet submitted in folder