Given that \(y = 4 - 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\).

FURTHER MATHEMATICS
WAEC 2015

Given that \(y = 4 - 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\).

  • A. 9.0
  • B. 0.9
  • C. -0.3
  • D. -0.9

Correct Answer: D. -0.9

Explanation

\(y = 4 - 9x\)

\(\frac{\mathrm d y}{\mathrm d x} = \frac{\Delta y}{\Delta x} = -9\)

\(\frac{\Delta y}{0.1} = -9 \implies \Delta y = -9 \times 0.1 = -0.9\)



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