Question

Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is charged $0.35 per minute. Which of the following piecewise functions accurately represents charges based on bens cell phone plan

Answer 1

f(x) = {39, x ≤ 250.......}

........{39 + 0.35(x - 200), x > 200}

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Answer 2

The piecewise function C(t) is defined as:

C(t)= {39, t ≤ 200}

{39 + 0.35(t - 200), t > 200}

Explanation:

Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

For any minutes over 200, Ben is charged $0.35 per minute.

Let C(t) represents the piecewise function that represents the charges based on bens cell phone plan.

Hence, the function C(t) is modeled as:

C(t)= {39, t ≤ 200}

{39 + 0.35(t - 200), t > 200}