At a jewelry store, the price p of a gold necklace varies directly with its length l. Also, the weight w of a necklace varies directly with its length. Show that the price of a necklace varies directly with its weight.

Question

Mathematics

Alexander Howe

22 July, 05:05

At a jewelry store, the price p of a gold necklace varies directly with its length l. Also, the weight w of a necklace varies directly with its length. Show that the price of a necklace varies directly with its weight.

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Answers (1)

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Christopher Delacruz · Answer 1

Since p varies directly with l,

p = kl (1)

Also, since w varies directly with l,

w = ml

or, l = w/m

Substitute in (1), we get,

p = k (w/m)

= (k/m) w

So, the price varies directly with weight.