2.5. Calculating the percentage change in inverse proportion questions

N2. Ratio and proportion

y is inversely proportional to the square of x, x > 0.

(a) If x is increased by 25%, find the percentage change in y. [2]

(b) Given that y = 16 when x = 1/2, find

(i) the equation connecting y and x. [2]

(ii) the value of x when y = 100. [2]

(c) Sketch the graph which represents the relation between y and x. [1]

(c) Take note that the lines must not cross the axes because x > 0.