Chapter 7.2, Problem 43E

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

1. a. A quantity that increases at 6%/yr obeys the growth function y(t) = y₀e^0.06t.
2. b. If a quantity increases by 10% /yr, it increases by 30% over 3 years.
3. c. A quantity decreases by one-third every month. Therefore, it decreases exponentially.
4. d. If the rate constant of an exponential growth function is increased, its doubling time is decreased.
5. e. If a quantity increases exponentially, the time required to increase by a factor of 10 remains constant for all time.