After how many weeks do you think it would be unreasonable to continue counting
individual mosquitoes? And finally, at the end of the 13-week mosquito season, how
many mosquitoes would you expect to be in the trap? Use complete sentences to
explain both of your answers below.

(Table if needed)

Week | Mosquitos
0 | 8
1 | 12
2 | 18
3 | 27

After How Many Weeks Do You Think It Would Be Unreasonable To Continue Countingindividual Mosquitoes?

Answers

Answer 1

We can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.

How to determine how many mosquitoes would you expect to be in the trap

Based on the given data, we can observe that the number of mosquitoes is increasing over time, and the increase is not constant. So, it would be unreasonable to continue counting individual mosquitoes after a certain point.

To estimate the number of mosquitoes at the end of the 13-week mosquito season, we can assume that the rate of increase remains constant over time. Using this assumption, we can find the average increase in mosquitoes per week, which is the difference between the number of mosquitoes in the last week and the number in the first week, divided by the number of weeks:

Average increase = (27 - 8) / 3 = 6.33

Then, we can use this average increase to estimate the number of mosquitoes in the 13th week:

Number of mosquitoes in the 13th week = 27 + 6.33 × 10 = 90.3

Since we cannot have a fraction of a mosquito, we can round this estimate to the nearest whole number.

Therefore, we can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.

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