Question

A population of 800 cheetahs decreases by 6% per year.

How many cheetahs will there be in the population after 8
years?

Answer 1

488

Explanation:

Each year, 94% of the amount of cheetahs in previous year is left. Let's say we start with x. If x decreases by 10% a year, how much of x is left after 3 years? We would do, x * (0.9*0.9*0.9), which is 0.729x.

0.94 * 0.94 * 0.94 * 0.94 * 0.94 * 0.94 * 0.94 * 0.94 = 0.6095689385410813

800 * 0.6095689385410813 = 487.655151

We must round 487.655151 to 488.

Hope this helps :)

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