Question

The population of a small country is modeled by the equation y=525.5e^-0.01t

Where y=population (in thousands)
t=the time (in years) with t=0 for the year 2000.
what was the population in the year 2000?

Answer 1

The population in 2000 is 525.5

Step-by-step explanation

The population is modeled by the equation:

`y=525.5e^(-0.01t)`

Where y=population (in thousands)

t=the time (in years) with t=0 for the year 2000.

To find the population in the year 2000, we substitite t=0 into the equation to get:

`y=525.5e^(-0.01 * 0)`

Perform the multiplication in the exponent:

`y=525.5e^(0)`

Note that any non-zero number exponent zero is 1.

`y=525.5(1)`

Any number multiplied by 1 is the same number;

`y=525.5`

The population in 2000 is 525.5