Section D Section D Checkpoint

Problem 1

A small company begins with 20 workers and hires 3 more every year. Use tt for the number of years since the company began and ww for the number of workers at the company.

  1. Write a function that can be used to take the number of years since the company began as the input, and compute the number of workers at the company at that time.
  2. Find the inverse of the function you wrote in the previous question. 

  3. Which function (the original or the inverse) is most useful for finding how many years it will take until the company has a certain number of workers? Explain your reasoning.
Show Solution
Solution
  1. w=20+3tw = 20 + 3t or equivalent
  2. t=w−203t = \frac{w-20}{3} or equivalent
  3. The inverse. Sample reasoning: It takes the number of workers as an input and outputs the number of years since the company started when it has that many workers.
Show Sample Response
Sample Response
  1. w=20+3tw = 20 + 3t or equivalent
  2. t=w−203t = \frac{w-20}{3} or equivalent
  3. The inverse. Sample reasoning: It takes the number of workers as an input and outputs the number of years since the company started when it has that many workers.