3 km SIDEWALK to III I - - B km PARK A The fearless pizza delivery guy travels by foot and skateboard from the pizza shop to my house. My house is at point B on the north side of a grassy park which is 1 km wide. The pizza shop is at point A on the south side of the park opposite the point O which is 3 km east of my house. The delivery guy knows that I am hungry and that I tip well, so he wants to minimize his travel time. He walks across the park in a straight line from point A to a point C on the north side of the park at 4 km hour, and then he skates along the sidewalk from point C to point B at 12 km per hour. See the diagram. What choice of the point C minimizes the travel time? (The delivery guy is fearless, but not reckless. He always wears a helmet.) Your solution should clearly display a function to be minimized, an interval on which the function is to be minimized, a calculation of the minimum value, and an explanation of why the value you found is a minimum.

Q: 10

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