Describe how a piecewise function can be more useful in real-world scenarios as opposed to a singular linear or non-linear function. Provide your own example of a real-life scenario. Include algebraic and graphical representations in addition to a verbal description

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?

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Which is the focus of a parabola with equation y2=4x