Question

Part A: What is the metabolism rate of a 60 kg cheetah to the nearest

tenth of a calorie per day?


Part B: Rearrange the formula to solve for m in terms of P, calories.

Answer 1

The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.

What is an equation?

An equation shows the relationship between numbers and variables.

Given that:

$P=73.3\sqrt[4]{m^3}$

Where P is the metabolism rate in calorie per day for m mass.

a) For m = 60:

$P=73.3\sqrt[4]{60^3} \\\\P=1580.2$

The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.

b)

$P=73.3\sqrt[4]{m^3} \\\\\frac{P}{73.3} = \sqrt[4]{m^3} \\\\m = \sqrt[3]{(\frac{P}{73.3} )^4}$

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