Math 116 Exam 1 - Math 116 Exam 1 page 7 7[16 points As they eat their cookies Alex and Chris are drinking milk They each have a glass from which they

# Math 116 Exam 1 - Math 116 Exam 1 page 7 7[16 points As...

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Math 116 / Exam 1 (October 11, 2006) page 7 Drinking Rate,d(t)246810121Refill Rate,r(t)2468101217.[16 points]As they eat their cookies, Alex and Chris are drinkingmilk. They each have a glass from which they are drinking, andthe jug of milk is conveniently located in the middle of the table.They both start with a full glass of milk (one pint). As they aredrinking, Chris sneakily refills the glass that Alex is drinking fromwhile Alex is distracted by the student that is passing by.Therate at which Alex is drinking the milk,d(t), is shown in the topfigure to the right, while the rate at which Chris refills the glass,r(t), is shown in the bottom figure. Both figures give the rates inpints per minute, and the time in minutes.(a)[8 of 16 points]LetV(t) be the amount (volume) of milk in theglass that Alex is drinking from, as a function of time. Care-fully sketchV(t) on the axes provided. Be sure to label youraxes and that your sketch has accurate vertical and horizontalscales.Glass Volume2468101