Question

A population of 1,750 cheetahs decreases by 10% per year. How many cheetahs will there be in the population after 11 years? Round your answer to the nearest whole number.

Answer 1

Answer:

The answer is C. 546.

If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.

After 1 year:     1750 * 0.89 ≈ 1558

After 2 years:  1558 * 0.89 ≈ 1387

After 3 years:  1387 * 0.89 ≈ 1234

After 4 years:  1234 * 0.89 ≈ 1098

After 5 years:  1098 * 0.89 ≈ 977

After 6 years:  977 * 0.89 ≈ 870

After 7 years:  870 * 0.89 ≈ 774

After 8 years:  774 * 0.89 ≈ 689

After 9 years:  689 * 0.89 ≈ 613

After 10 years:  613 * 0.89 ≈ 546

Step-by-step explanation: