Question
The Oasis Islands are famed for their extraordinary wildlife. The function \[ f(x)=22 x^{1 / 3} \] models the number of plant species, \( f(x) \), on the various islands of the Oasis chain in terms of the area, \( x \), in square miles, of a particular island. How many species of plants are on a Oasis island that has an area of 512 square miles? There are \( \square \) species of plants on the island.
Ask by Hill Rowe. in the United States
Oct 27,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
There are 176 species of plants on the island.
Solution
Substitute \( x=512 \) into the expression \( 22x^{\frac{1}{3}} \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(22x^{\frac{1}{3}}\)
- step1: Substitute:
\(22\times 512^{\frac{1}{3}}\)
- step2: Evaluate the power:
\(22\times 8\)
- step3: Multiply:
\(176\)
There are 176 species of plants on the Oasis island with an area of 512 square miles.
Reviewed and approved by the UpStudy tutoring team
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