Question

The population of a suburb is 4000 people. The population of the suburb

is expected to double each decade. The expression 4000 • 2d models the

population of the suburb after each decade d.


Please Answer: Evaluate the expression for

d = –2.

Answer 1

1000

Explanation:

The population of the suburb after each decade d is given by the equation as follows :

`P=4000* 2^d`

We need to evaluate the expression for d = -2.

Put d = -2 in the above equation. So,

`P=4000* 2^(-2)\\\\=4000* (1)/(2^2)\\\\=4000* (1)/(4)\\\\=1000`

So, if d = -2, then the population of the suburb is equal to 1000.