Question

Solve the questions it is direct and indirect variations

Answer 1

v = $312.5

Explanation:

Let

Value of the gem stone = v

Weight of the gemstone = w

v = k * w²

Where,

k = constant of proportionality

w = 4 carat

v = $200

v = k * w²

200 = k * 4²

200 = k * 16

200 = 16k

k = 200/16

k = 12.5

Find v when w = 5 carat

v = k * w²

= 12.5 * 5²

= 12.5 * 25

= 312.5

v = $312.5