Answer:
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
