Question

A field currently holds 20 tulips. The number of tulips will grow by 70% each year. The field can only sustain 300 plants. Use th logistic growth model to predict the population in the next 3 years,​

Answer 1

Answer: $98.26$

Step-by-step explanation:

Given

Current population of tulips is 20

Each year it grows 70%

Field can sustain 300 tulips

After 1 year population becomes

$\Rightarrow 20(1+70\%)\\\Rightarrow 20(1.7)\\\Rightarrow 34$

after 2 years it is

$\Rightarrow 34(1+0.7)\\\Rightarrow 34\times 1.7\\\Rightarrow 57.8$

After 3 years

$\Rightarrow 57.8(1+0.7)\\\Rightarrow 98.26$

after n years, the tulips becomes

$\Rightarrow 20(1.7)^n$