Back to 4.2 Modeling with Linear Functions

2.3 Exercise 54

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 and 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 Precalculus 2e, 2.3 Modeling with Linear Functions, exercise 54

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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.