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4.2 Exercise 59

Avg difficulty 2.5

A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used for voice or video calling. If a customer uses 410 minutes, the monthly cost will be $71.50. If the customer uses 720 minutes, the monthly cost will be $118.

  1. ⓐFind a linear equation for the monthly cost of the cell plan as a function of x, the number of monthly minutes used.
  2. ⓑInterpret the slope and y-intercept of the equation.
  3. ⓒUse your equation to find the total monthly cost if 687 minutes are used.

OpenStax Algebra and Trigonometry 2e, 4.2 Modeling with Linear Functions, exercise 59

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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.