COLLEGE ALG-WORD PROBLEM

label Algebra
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schedule 1 Day
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For each planet in a solar system its year is the time it takes the planet to revolve around the center star. The formulae E=0.2x^3/2 models the number of Earth days in a planet's year, E, where x is the average distance of the planet from the center star, in millions of kilometers. There are approximately 224.8 Earth days in the year of Planet B. What is the average distance of Planet B from the center star? (in million kilometers)

DO NOT ROUND UNTIL THE FINAL ANSWER THEN ROUND TO THE NEAREST W#

May 30th, 2015


That's incorrect; you need brackets: E = .2x^(3/2) : not .2x^3 divided by 2.

i have
224.8=0.2x^3/2
------------------
0.2 0.2
1124=x^3/2
1124^2/3=(x^3/2)^2/3
1124^2/3=x


x = 1825^(2/3) is correct.
 Rounded, answer is 149.

May 30th, 2015

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