Net Change and Fundamental Theorem I own an ice cream stand near the beach. The rate at which I sell ice cream cones depends on the number of people who walk by my stand in a day. This relationship

Net Change and Fundamental Theorem

I own an ice cream stand near the beach.  The rate at which I sell ice cream cones depends on the number of people who walk by my stand in a day.  This relationship is modeled by the function .  This means that if w = 100 people walk by in a day, then I sell cones at a rate of cones per person.

1. Compute . 

(Hint: Use a u-substitution.  You don’t need to actually get a number, you can leave your final answer unsimplified)

2. Describe what this number represents.  Use units in your description.

The number of people that walk by each day depends on the temperature (in Fahrenheit).  This relationship is given by .

3. Compute .

4. Describe what the function from question 3 represents.  Use units in your description.