Question

The groundhog population of​ Punxsutawny, Pennsylvania is closely monitored each year. Two years ago the population decreased by​ 12%. Last year the number of groundhogs increased by​ 6%. This year the population also increased by​ 9%. What was the percentage​ increase/decrease of groundhogs over these three​ years? Round your answer to the nearest tenth of a percentage poin

Answer 1

Answer:

There was a increase of 1.7% over these three​ years

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: $\frac{100-a}{100}$

For a increase of a%, we multiply by: $\frac{100+a}{100}$

What was the percentage​ increase/decrease of groundhogs over these three​ years?

Decrease of 12%(multiplication by 0.88).

Increase of 6%(multiplication by 1.06).

Increase of 9%(multiplication by 1.09).

After these three years:

0.88*1.06*1.09 = 1.017

1.017 - 1 = 0.017

0.017*100% = 1.7%

There was a increase of 1.7% over these three​ years