Question

number of aquatic organisms in dunsville fishery
year | 2008 | 2009 | 2010
number | 4,207 | 4,546 | 4,902
what was the approximate increase in the number of aquatic organisms over each of the two years listed above?
choose the option that best answers the question.
4%
5%
7.5%
10%

Explanation:

Step1: Calculate increase from 2008 to 2009

First, find the increase: \( 4546 - 4207 = 339 \).
Then, calculate the percentage increase: \( \frac{339}{4207} \times 100 \approx 8.06\% \)? Wait, no, wait—wait, maybe I miscalculated. Wait, 2008 to 2009: \( 4546 - 4207 = 339 \). \( \frac{339}{4207} \approx 0.0806 \), so ~8%? But the options are 4%,5%,7.5%,10%. Wait, maybe 2009 to 2010? Let's check 2009 to 2010: \( 4902 - 4546 = 356 \). \( \frac{356}{4546} \approx 0.0783 \), so ~7.83%, which is close to 7.5%? Wait, maybe the question is about each year: 2008 - 2009 and 2009 - 2010. Let's recalculate 2008 - 2009: \( 4546 - 4207 = 339 \). \( \frac{339}{4207} \approx 0.0806 \) (8.06%), 2009 - 2010: \( 4902 - 4546 = 356 \). \( \frac{356}{4546} \approx 0.0783 \) (7.83%). The closest option is 7.5%? Wait, maybe I made a mistake. Wait, let's check 2008 to 2009: 4207 0.08 = 336.56, which is close to 339. 4207 0.075 = 315.525, 4207 0.08 = 336.56. So 8% is close, but the options have 7.5%. Wait, maybe the question is about the average or the approximate for each. Wait, 2008 - 2009: 4207 to 4546. Let's do 4207 1.08 = 4207 + 336.56 = 4543.56, which is very close to 4546. So 8%? But the options have 7.5%. Wait, maybe the question is 2009 to 2010: 4546 to 4902. 4546 1.075 = 4546 + 45460.075 = 4546 + 340.95 = 4886.95, which is close to 4902. The difference is 4902 - 4886.95 = 15.05, so ~7.5% is close. Alternatively, maybe the question is about the approximate increase for each year, and 7.5% is the closest. Wait, the options are 4%,5%,7.5%,10%. So 7.5% is the closest to the actual increase (around 7.8% and 8.06%). So the answer is 7.5%.

Step2: Confirm the closest option

The increase from 2009 to 2010 is ~7.83%, which is closest to 7.5% among the options. The increase from 2008 to 2009 is ~8.06%, also close to 7.5% (since 7.5% is the only option near 8%). So the approximate increase is around 7.5%.

Answer:

7.5% (the option with 7.5%)