Home » Further Mathematics » Given that (y = 4 – 9x) and (Delta x = 0.1), calculate (Delta y).

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

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: Option D
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)