Question

In 2004, the population of a country was 15,000. The population is expected to grow at a rate of 0.3% each year. Write an equation that models the population after t years.

Question 2 options:

A) p = 15,00(1.003)t

B) p=1500(.97)t

C )p=1500(.3)t

D) p=1500(.003)t

Answer 1

p=15,000+(.003)t

Explanation:

.3% converted to a decimal is .003

Let's say t=5. The equation is saying the population is 15,000 now. In 5 years, the population will be

5 (years) * .003 (the yearly expansion rate). Plus the population now. So

15,000 + (.003)t

Answer 2

A) p = 15,000(1.003)^t. (A is the closest but the first number should be 15,000 not 15,00)

Explanation:

0.3 % = 0.3 / 100 = 0.003 as a decimal fraction.

To work out the next years population we multiply the present year's by 1.003

- then the next year's by 1.003 and so on.

So the required equation is 15,000(1.003)^t.