Solve the questions it is direct and indirect variations

v = $312.5

Step-by-step 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

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)