Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A forest region has a species-area relationship with . Developers clear the forest, and only per cent of its area is left as one block.
The species-area relationship is , or . The slope is , and it is 0.1 to 0.2 for regions and 0.6 to 1.2 for whole continents. When an area falls to a fraction of its size, the species fall to of their number.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. .
Plan. The species left are , where is the fraction of the area left.
Step 1. (a) , so per cent remain.
Step 2. (b) per cent are lost.
Step 3. (c) , so per cent remain and per cent are lost.
Answer: per cent; per cent; per cent.
Check. Losing per cent of the area costs about a third of the species. The model gives only an estimate.
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