SOLUTION: The function f(x)= 29x to the 1/3 models the number of plant species, f(x), on the islands of the Galopagos in terms of the area, x, in square miles, of a particular island. Use t

Algebra ->  Radicals -> SOLUTION: The function f(x)= 29x to the 1/3 models the number of plant species, f(x), on the islands of the Galopagos in terms of the area, x, in square miles, of a particular island. Use t      Log On


   

Question 29836: The function f(x)= 29x to the 1/3 models the number of plant species, f(x), on the islands of the Galopagos in terms of the area, x, in square miles, of a particular island. Use the function to solve:
What is the area of a Galapagos Island that has 58 species of plants.
Can you get me started here? I have no idea of even where to begin.
Thanks in advance.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 29x%5E%281%2F3%29+ where f(x) is the number of plant species on area x.

Given that number of plant species is 58, we have:

+58+=+29x%5E%281%2F3%29+
+58%2F29+=+x%5E%281%2F3%29+
+2+=+x%5E%281%2F3%29+
+2%5E3+=+%28x%5E%281%2F3%29%29%5E3+
+2%5E3+=+x+
+8+=+x+

--> area is 8 square miles

jon.