Question

A population of deer increases by a factor of 1.25 each year. For example, if there are initially 100 deer, after 1 year there will be 125. Which of the following best approximates the factor by which the population of deer will have increased after 10 years?

Answer 1

9.313

Explanation:

Beginning: 1

After 1 year: 1 × 1.25 = 1.25

After 2 years: 1.25 × 1.25 = 1.25²

After 3 years: 1.25² × 1.25 = 1.25³

...

After 10 years: 1.25^10

1.25^10 = 9.313