In some other universe K. Pack believes he has discovered a relationship between

Question

In some other universe K. Pack believes he has discovered a relationship between a planet's distance D from its sun and the time T it takes to orbit it's sun. This formula is T=4 D5 where T is in Earth years and D=1 corresponds to the distance between Earth and our sun or 93,000,000 miles.

A) Planet ETA is 26 miles farther from it's sun than Earth is from our sun. Estimate the # of Earth years required for Eta to orbit it's sun according to K. Packs formula.

B) Write this formula with rational exponents.

Explanation / Answer

A) T = d^(5/4)

T = (26) ^(5/4)   = 58.71   Years

B)   T = D^(5/4) thus ans

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