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Solving a piecewise function problem on a whiteboard.

A hand pointing to a math problem on a whiteboard, showing a piecewise function example about Shelly's earnings, with handwritten notes and a pink marker.

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Show Answer Key & Explanations Step-by-step solution for: Ex 6 Piecewise Function Word Problem

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Final Answer:
$440

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Explanation:
Let’s break it down step by step.

Shelly earns $8 per hour for the first 40 hours.
So, for 40 hours:
40 × $8 = $320

After 40 hours, she earns $12 per hour for each extra hour.
She worked 50 hours total, so extra hours = 50 – 40 = 10 hours.
For those 10 extra hours:
10 × $12 = $120

Now add both parts together:
$320 + $120 = $440

That’s how much she earned after 50 hours.

Parent Tip: Review the logic above to help your child master the concept of piecewise functions word problems worksheet.

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