The population of rabbits on an island is growing exponentially. In the year 1992, the population of rabbits was 8300, and by 2000 the population had grown to 21500. Predict the population of rabbits in the year 2009, to the nearest whole number.

36350

Step-by-step explanation:

1992 : 8300

2000 : 21500

1992/2000 = 8300/21500

Each year, population grow around 1650 rabbits

In 2009: 21500+(1650*9) = 36350

36350

Step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

the answer is d

hope this