For a cellular phone billing plan, $50 per month buys 400 minutes or less. Additional time costs $0.30 per minute.
Let the monthly cost C(x) be a function of the time x

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The equations of the function C(x) are C(x) = 50, when x <= 400 and C(x) = 50 + 0.30(x - 400), when x > 400

How to determine the equation of the function C(x)?

The given parameters are:

  • Monthly cost = $50 for 400 minutes of less
  • Additional time = $0.30 per minute

The above means that;

C(x) = 50, when x <= 400

C(x) = 50 + 0.30(x - 400), when x > 400

Hence, the equations of the function C(x) are C(x) = 50, when x <= 400 and C(x) = 50 + 0.30(x - 400), when x > 400

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