Question

A scientist wants to estimate the population of sponges on a coral reef using quadrants. Each quadrant is 1 m squared. She counts 450 individuals in 22 quadrants. The total area of the reef is 960m squared

Answer 1

Answer:

19636

Explanation:

Since area of each quadrant is $1m^2$.

And, the total area of reef is $960 m^2$

So, the total number of quadrants = $\frac{960}{1}$ = 960.

Now, in 22 quadrants the number of individuals is 450.

So, in one quadrant the number of individuals = $\frac{450}{22}$

That means there are $\frac{450}{22}$ individuals in each quadrant.

We have calculated that the in the total area of reef, there are 960 quadrants each with area $1m^2$.

So, the number of individuals in the total 960 quadrants = $960 \times \frac{450}{22}$ = 19636.36

As we are counting individuals so we will round off the final result to the nearest whole number so the final number of individuals(sponges) will be 19636.