A variable W varies partly as M and Partly inversely as P. Which of the following correctly represents the relation with k\(_1\) and k\(_2\) constants?
A
W = \(\frac{k_1M}{k_2P}\)
B
W = (\(k_1 + k_2\))\(\frac{\text{M}}{\text{P}}\)
C
W = k\(_1\)M + \(\frac{k_2}{P}\)
D
W = (k\(_1 + k_2\))M + P
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
W ∝ M and W ∝ \(\frac{1}{P}\)
If a variable W varies partly as M and partly inversely as P, the relationship can be expressed as:
W = k\(_1\)M + \(\frac{k_2}{P}\)
Source: Myschool Past Questions Archive (Record #71775)