Question

due to conservation efforts, the panda bear has been removed from the endangered species list. There are now 15,000 in the world, and the population is expected to grow by 10% yearly. Write an equation that models this scenario. Y = 15,000(1.10)

Answer 1

`y=15,000(1.10^(x))`

Explanation:

Let

x -----> the number of years

y ----> the population of panda bears in the world

we know that

This problem represent a exponential function of the form

`y=a(b^(x))`

where

a is the initial value (value of y when the value of x is equal to zero)

b is the base

r is the rate

b=(1+r)

In this problem we have

`a=15,000\ panda\ bears`

`r=10\%=10/100=0.10`

`b=(1+r)=1+0.10=1.10`

substitute

`y=15,000(1.10^(x))`