Homework Help: Math Help- Gr12

Posted by Mai on Monday, January 18, 2010 at 10:53pm.

The relation between the # of time in days, D, it takes for a planet to revolve around the Sun is related to the planer's average distance from the Sun, k, in millions of kilometres is defined by log D= 3/2logk-0.7 .

How much longer does it take Mars than
Venus to orbit the Sun if Mars is 207 million km and Venus is 108 million km away from the Sun?

The answer i got was originally 0.424.. but it seemed off to be so i tried it a different way and got 2.3 , can someone tell me which is correct?

Math Help- Gr12 - Reiny, Monday, January 18, 2010 at 11:05pm
you will have to use brackets so I can tell what the order of operation is

The way you typed it it would be

D = (3/2)logk - 0.7
but I have a feeling it could be
D = 3/(2logk) - .07 or even
D = 3/(2logk - 0.7)
Math Help- Gr12 - Mai, Monday, January 18, 2010 at 11:23pm
opps, im sorry.. its suppose to be D = (3/2)logk - 0.7
Math Help- Gr12 - Reiny, Monday, January 18, 2010 at 11:36pm
so for Mars k = 207 and
D = (3/2)log207 - .07 = 2.774

for Venus k = 108 and
D = (3/2)log108 - .7 = 2.350

the difference between these two times is .4238 days, which matches appr. your first answer.

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