Have you ever wondered "How many licks does it take to get to the tootsie roll center of a Tootsie Pop?" While the Tootsie Pop Owl says "The world may never know!", I think you can find the number of licks! As a Calculus student, you know that rate of change and accumulation are closely related. So, let's use this knowledge.

a. Write integral that can be used to estimate how many licks it would take to get to the center of a Tootsie Pop (if he doesn't get too anxious and bite into it) given that a child is able to remove candy from the Tootsie Pop at a constant rate of 0.02 grams/lick and there are 17 grams of candy in the Tootsie Pop. (Hint: Think about what the independent and dependent variables are.

b.) Evaluate the integral (either by hand or using technology). [5 pts]

c.) Describe (in words) the meaning of the value you found in part b above.