SOLUTION: Hi, I need to show my work, but I have no idea how to complete the problem. Could someone please show me (step-by-step) how to obtain the answer, for this problem? The Galapago

Algebra ->  Test -> SOLUTION: Hi, I need to show my work, but I have no idea how to complete the problem. Could someone please show me (step-by-step) how to obtain the answer, for this problem? The Galapago      Log On


   



Question 357933: Hi, I need to show my work, but I have no idea how to complete the problem. Could someone please show me (step-by-step) how to obtain the answer, for this problem?
The Galapagos Islands , lying 600 miles west of Ecuador, are famed for their extraordinary wildlife. The function f(x)= 29x1/3 models the number of plant species, f(x), on the various islands of the Galapagos chain in terms of the area, x, in square miles, of a particular island. Use this function to solve:
Section 10.2, # 125.
HOw many species of plants are on a Galapagos island that has an area of 8 square miles?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
If I am understanding the equation for the model correctly:
f%28x%29=+29%2Aroot%283%2Cx%29 models the number of plant species, f(x), on the various islands of the Galapagos chain
in terms of the area, x, in square miles, of a particular island
Using the model and substituting the area of the Galapagos island
number of plant species on the island = 29%2Aroot%283%2C8%29 = 29*2 = 58