Growing, Growing, Growing

Exponential Growth

100

Carol stocked her pond with 3 fish she expects it to triple every year. After 3 years how many fish are in the pond.

81

200

If you invest $40 in an account for 9 years at a 3% interest rate how much money will you have?

$52

300

If the starting population of 5 rabbits grows at 60% each year, how many will there be 4 years?

32.768 rabbits

400

A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years?

210

500

A type of bacteria has a very high exponential growth rate at 80% every hour. If there are 10 bacteria, determine how many there will be 1 day?

13382588.45

Examining Growth Patterns

100

3³

27

200

2⁴ =x

16

300

Bacteria lands on a chair. it multiples by a factor of 4. how much bacteria is on the chair in 3 hours.

64

400

There are 2 spiders living under your bed. They multiply by a factor of 2 each day. how many spiders are there in 3 days.

64

500

4⁴

256

Growth Factors and Growth Rates

100

Suppose there are 100 trout in a lake and the yearly growth factor for the population is 1.5 how many years will it take for the population to double?

between 2 and 3 years

200

find the growth rate associated with the growth factor 1.4

40%

300

Find the growth factor associated with the growth rate 45%

1.45

400

find the growth rate associated with the growth factor 1.75

75%

500

Find the growth factor associated with the growth rate 90%

1.9