1. Word Problems on Instantaneous and Average Rate of Change Math 3204

2. Instantaneous Rate of Change
The power P, in watts, supplied to a circuit by a battery is given by the formula,
where I is the current in amperes. What is the approximate instantaneous rate of change of power when the current is 4 amperes?

3. Instantaneous Rate of Change
A flashlight projects a circular image with a radius of 10cm. As the flashlight is moved away from the wall, the radius of the circular image increases increasing the area as given by the formula,
where t is time in seconds. What is the instantaneous rate of change in the area of the circle at 4 seconds?

4. Average Rate of Change
The table indicates the number of cases of West Nile Virus over a period of 4 months. What is the average rate of change, in cases per month, between months 2 and 4?
Month 1 2 3 4
# of Cases 22 34 30 16

5. Average Rate of Change
An ice cube has a side length of 9 cm. The ice cube is melting and thus the Volume is given by the formula,
where t is time in minutes?
What is the average rate of change in the first 5 minutes?

6. Average Rate of Change
An ice cube has a side length of 9 cm. The ice cube is melting and thus the Volume is given by the formula,
where t is time in minutes. What is the average rate of change between 2 minutes and 5 minutes?

7. Instantaneous Rate of Change
An ice cube has a side length of 9 cm. The ice cube is melting and thus the Volume is given by the formula,
where t is time in minutes. What is the instantaneous rate of change at 5 minutes?