[AP Calculus BC] 7.5 Logistic Growth

Last updated almost 2 years ago
6 questions
1

The following logistic equation describes the growth of a population P, where t is measured in years




a) What is the carrying capacity of the population?

1

How big is the population when it is growing the fastest?

1

How fast is the population growing when it is growing the fastest?

Answer in terms of individuals per year

1


How long will it take the guppy population to be 100?

Round to the nearest week

1

How about 125?

Round to the nearest week

1



How long will it take for the gorilla population to reach the carrying capacity of the preserve?

Because population must be a whole number, you may assume that the population will round up/down appropriately to the nearest whole number.


Round to the nearest year