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