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Andrew has a cell phone plan that provides 300 free minutes each month for
a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per
minute. Which of the following piecewise functions represents charges based
on Andrew's cell phone plan?

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Answer:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If  then If  then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300

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