Back to 4.1 Linear Functions

4.1 Exercise 166

Avg difficulty 2.5

Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the linear function: I(x)=1054x+23,286 I \left(x\right) = 1054 x + 23,286, where x x is the number of years after 1990. Which of the following interprets the slope in the context of the problem?

  1. ⓐAs of 1990, average annual income was $23,286.
  2. ⓑIn the ten-year period from 1990–1999, average annual income increased by a total of $1,054.
  3. ⓒEach year in the decade of the 1990s, average annual income increased by $1,054.
  4. ⓓAverage annual income rose to a level of $23,286 by the end of 1999.

OpenStax Algebra and Trigonometry 2e, 4.1 Linear Functions, exercise 166

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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.