Question
Define the piecewise function \(C(x)\) for the total cost of data usage. Use the following intervals:
– For \(0 \le x \le 5\): cost is \($10 per GB\).
– For \(5 15\): cost is \($5 per GB\) for each GB exceeding 15 GB, in addition to the cost for the first 15 GB.
Clearly indicate the domain restrictions for each segment.
Hint
Hint
Structure your function as: \(C(x) = \begin{cases} … & \text{for } … \\ … & \text{for } … \\ … & \text{for } … \end{cases}\). Remember to include the accumulated cost from previous intervals in subsequent segments.
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Answer
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Explanation
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Answer
Complete Answer
C(x) = \begin{cases} 10x & \text{for } 0 \le x \le 5 \\ 50 + 8(x-5) & \text{for } 5 < x \le 15 \\ 130 + 5(x-15) & \text{for } x > 15 \end{cases}
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Answer Explanation