The approximate number of Calories, C , that an animal needs each day is given by C=72m^3/4 , where m is the animal's mass in kilograms. Find the number of Calories that a 16 kilogram dog needs each day.

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Answer:

576 Calories a 16 kilogram dog needs each day.

Step-by-step explanation:

The approximate number of Calories, C , that an animal needs each day is given by [tex]C=72m^{3/4}[/tex] ,

where m is the animal's mass in kilograms.

now we find the number of Calories that a 16 kilogram dog needs each day.

we are given with m=16

So plug in 16 for m in the given equation

[tex]C=72m^{3/4}\\C=72(16)^{3/4}\\C=72(2^4)^{3/4}\\C=72(2^3)\\C= 576[/tex]

576 Calories a 16 kilogram dog needs each day.

The number of Calories that a 16 kilogram dog needs each day is 73728 calories.

An equation shows the relationship between two or more variables.

Let C represent the number of calories and m represent the mass in kilograms. The relationship between C and m is:

C = 72m³/4

For m = 16:

C = 72(16)³/4 = 73728

The number of Calories that a 16 kilogram dog needs each day is 73728 calories.

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