\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1

MATHEMATICS
WAEC 2006

\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table below satisfies the relation y - k\(\sqrt{x}\), where k is a positive constant. Find the value of P,

  • A. 2
  • B. 4
  • C. 10
  • D. 25

Correct Answer: D. 25

Explanation

From y = \(\frac{1}{2} \sqrt{x}\)

when y = 2.5 or \(\frac{5}{2}\), x = P

\(\frac{5}{2} \times \frac{1}{2} \sqrt{P}\)

\(\sqrt{P} = \frac{10}{2} = 5\)

P = 52

= 25



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