Back to 4.2 Modeling with Linear Functions

2.3 Exercise 52

Avg difficulty 2.5

In 2004, a school population was 1,001. By 2008 the population had grown to 1,697. Assume the population is changing linearly.

  1. ⓐ How much did the population grow between the year 2004 and 2008?
  2. ⓑ How long did it take the population to grow from 1,001 students to 1,697 students?
  3. ⓒ What is the average population growth per year?
  4. ⓓ What was the population in the year 2000?
  5. ⓔ Find an equation for the population, P, P , of the school t years after 2000.
  6. ⓕ Using your equation, predict the population of the school in 2011.

OpenStax Precalculus 2e, 2.3 Modeling with Linear Functions, exercise 52

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.