Question

the price of a diamond is proportional to the square of its weight if the price of diamond waiting 5 carat is 25 find the price of diamond weightiting a carrot​

Answer 1

price of diamond = weight^2

price of diamond weighing 5 carat = 5^2 =25

price of a diamond weighing a carat = 1^2 = 1

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Answer 2

The price of another diamond weighing 1 carat is Rs 1

Solution:

Let price be denoted by p and weight by w

The price of a diamond is proportional to the square of its weight.

Therefore,

$p \propto w^2\\\\p = k \times w^2 ------ eqn\ 1$

Where, "k" is constant of proportionality

The price of diamond weighing 5 carat is 25

Substitute , p = 25 and w = 5 in eqn 1

$25 = k \times 5^2\\\\25 = k \times 25\\\\k = 1$

Find the price of another diamond weighing 1 carat

Substitute k = 1 and w = 1 in eqn 1

$p = 1 \times 1^2\\\\p = 1$

Thus the price of another diamond weighing 1 carat is Rs 1

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