Rates of Change, SMB-010

Moses finds that for a Froghead eel, its mass is directly proportional to the square of its length.

An eel of this species has a length of 72 cm and a mass of 8250 grams.

What is the expected length of a Froghead eel with a mass of 10.2 kg? Give your answer to one decimal place. (3 marks)

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`80.1\ text{cm}`

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`text(Mass) prop text(length)^2`

`m = kl^2`

`text(Find)\ k:`

`text(When)\ \ l\ \ text(when)\ \ m = 10\ 200:`