Let G(t) = 100 - 100 $e ^ { - 0.01 t }$

question 31

Multiple Choice

Let g(t) = 100 - 100 $e ^ { - 0.01 t }$ be the number of cases of measles in a certain school t days after the first case is reported. Which of the following best describes the spread of the disease?

• A) The number of cases decreases according to exponential decay.
• B) After the first day there are 100 cases, after which the number of cases decreases daily to 0.
• C) Initially, the disease spreads quickly, but then the rate of increase slows so that the number of cases never exceeds 100.
• D) The disease spreads quickly until the number of cases reaches 100; then gradually the number of cases decreases.
• E) none of these