Question

Y is inversely proportional to x and y = -8 when x = 3. Find the value of y when x = -2

Answer 1

y α 1/x

y = k/x

xy = k where k = *konstant of variation.

When y = -8, x = 3

k = xy

k = 3*-8 = -24

Finding y when x = -2.

Recall:

xy = k

xy = -24

-2*y = -24

y = -24/-2

y = 12