For each planet in a solar system, its year is the time it takes the planet to revolve around the center star. The function f (x )equals 0.2 x Superscript 3 divided by 2 models the number of Earth days in a planet's year, f(x), where x is the average distance of the planet from the center star, in millions of kilometers. There are approximately 365 Earth days in the year of Planet Upper C. What is the average distance of Planet Upper C from the center star?

Option C

Step-by-step explanation:

Given expression is

Option A

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Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .

Therefore, both the expressions are not equivalent.

Option B

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Here, numerator of the expression is a linear polynomial which is not equal to given expression.

Therefore, both the expressions are not equivalent.

Option C

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Here, numerator is a cubic polynomial.

Therefore, both the expressions are equivalent.

Option D

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Numerator is a linear polynomial.

Therefore, sum is not equal to the given expression.

Option C will be the answer.