Tamara is driving to her parents’ house for a visit. For the first one and a half hours of her trip, after leaving her home, she averages 38 mph. Once she gets on the highway, she makes better time and for the rest of her trip she averages 68 mph. Tamra’s total trip takes her 6.5 hours. a. Write a piecewise function that determines Tamara’s distance traveled from her home as a function of hours traveled. Be sure to clearly define input and output variables first. b. According to the function, after driving for 4.25 hours, how far is she from home?

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A:

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