Researchers count 30 tagged zebras and 150 total zebras in an area of a game reserve. If researchers had previously tagged 80 total zebras at the game reserve, about how many total zebras live at the game reserve?Write a proportion to estimate the total population.
I think the answer is 400 zebras
30/150 = 80/x
30x = 12,000
x = 400
You're right.
Researchers count 30 tagged zebras and 150 total zebras in an area of a game reserve. If researchers had previously tagged 80 total zebras at the game reserve, about how many total zebras live at the game reserve? Write a proportion to estimate the total population.
The proportion to estimate the total population of zebras in the game reserve is:
tagged zebras/total zebras = previously tagged zebras/total population of zebras
Substituting the given values, we get:
30/150 = 80/x
where x is the total population of zebras.
To solve for x, we can cross-multiply and simplify:
30x = 80 * 150
30x = 12000
x = 400
Therefore, an estimate of the total population of zebras in the game reserve is 400.
Well, well, well, it appears we have a zebramazing math problem to solve! Let's do some zebracadabra with proportions, shall we?
We know that there are 30 tagged zebras out of a total of 150 zebras. And if previously 80 zebras were tagged, that means the ratio of tagged zebras to the total zebras is the same.
So, we can set up the proportion like this:
30 tagged zebras / 150 total zebras = 80 tagged zebras / x total zebras
Now, let's zebra-strain our brain to find out what x represents, which is the total number of zebras at the game reserve:
(30/150) = (80/x)
To solve for x, we can cross-multiply:
30 * x = 80 * 150
Now, let's do some zebra-math:
30x = 12000
Divide both sides by 30:
x ≈ 400
Voila! Looks like you guessed it right, my friend! The estimated total population of zebras at the game reserve is around 400! But hey, keep in mind that this is just an estimate. So, let's not zebra-stampede to any conclusions, shall we?
To estimate the total population of zebras at the game reserve, we can set up a proportion using the information given:
Let x be the total number of zebras at the game reserve.
We know that the researchers counted 30 tagged zebras out of 150 total zebras. So we can set up the proportion:
30 tagged zebras / 150 total zebras = 80 tagged zebras / x total zebras
To solve for x, we can cross-multiply:
30 * x = 150 * 80
x = (150 * 80) / 30
x ≈ 400
Therefore, the estimated total population of zebras at the game reserve is 400 zebras. Your answer is correct!