To determine the squirrel population in a city park, researchers tagged 90 squirrels. Later, they counted 630 squirrels, 42 of which had tags. Based on this data, what is the total number of squirrels in the park?
THANK YOU!
But they only give these choice answers. Which could it be and why? Thank you!
A)762
B)1260
C)1350
D)3780
762
42/90 = 46.67% of the tagged squirrels.
so, you can expect that 630 = 46.67% of the total population.
It is in fact one of them. So, how do you use what I told you to get the whole population?
are u sure????
762
1350
To determine the squirrel population in a city park, researchers tagged 90 squirrels. Later, they counted 630 squirrels, 42 of which had tags. Based on this data, what is the estimated total number of squirrels in the park, rounded to the nearest whole number?
1350 ..
which is it???
The answer is 1350.
Here's how you can solve it:
- You know that 42 out of 90 squirrels were tagged. This means that the ratio of tagged squirrels to total squirrels is 42/90, or approximately 0.467.
- You also know that the researchers counted 630 squirrels in total.
- To estimate the total squirrel population, you can set up a proportion:
tagged squirrels/total squirrels = tagged squirrels in sample/total squirrels in sample
0.467 = 42/x
- Cross-multiply:
0.467x = 42
- Divide both sides by 0.467:
x = 90.02
- Round to the nearest whole number:
x ≈ 1350
Therefore, the estimated total number of squirrels in the park is 1350.
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