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Answer :

Given:

Weight on Mars = 40 pounds

Weight on Earth = 100 pounds

Weight on Mars directly varies with the weight on Earth.

Solution:

First, we need to determine the constant k to solve for parts C and D.

M = kE

40 = k*100

40/100 = (k*100)/100

k = 0.40

Now that we have the constant, we will proceed with parts C and D.

Part C.

M = 16 pounds

E = ?

Let's use the formula above M = kE where k = 0.40.

M = kE

16 = 0.4*E

16/0.4 = (0.4*E)/0.4

E = 40 pounds

Part D.

M = ?

E = 12 pounds

Let's use the formula above M = kE where k = 0.40.

M = kE

M = 0.4*12

M = 4.8 pounds

ANSWER: E = 40 pounds. M = 4.8 pounds