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A variable W varies partly as M and Partly inversely as P. Which of the...

Mathematics
WAEC 2024

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
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Correct Answer: Option C
Explanation

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 +  \(\frac{k_2}{P}\)


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