In this problem, we are investigating how the time constant affects the shape of a graph.

Remaining candies (C) = candies present (C_{0}) - (10/100)C_{0}

**a.**

At t = 0, C_{0} = 1000.

At t = 1h, C_{1} = 1000 - (10/100)(1000) = 900

At t = 2h, C_{2} = 900 - (10/100)(900) = 810

At t = 3h, C_{3} = 810 - (10/100)(810) = 729

At t = 4h, C_{4} = 729 - (10/100)(729) = 656.1

a. Consider a candy jar, initially with 1000 candies. You walk past it once each hour. Since you don't want anyone to notice that you're taking candy, each time you take just 10% of the candies remaining in the jar. Sketch a graph of the number of candies remaining as a function of time.

b. How would the graph change if instead of removing 10% of the candies, you removed 20%? Sketch a new graph.

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