Question

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.
Show all work for this problem on a separate sheet of paper to turn in.
C=
Calories
someone plss helpp!?!!

Answer 1

`\huge\boxed{576 \ \text{calories}}`

Explanation:

In order to find the number of calories that an
`m` kg animal weighs, we can substitute what we need inside the formula given,
`72m^{(3)/(4)}`. Since we want to find how much a 16 kg dog needs to eat, we substitute 16 in as m.

`72\cdot 16^{(3)/(4)}`

BPEMDAS tells us that the order of solving equations is

Brackets

Parantheses

Exponents

Multiplication/Division

Addition/Subtraction

Looking at this order, we need to do
`16^{(3)/(4)}`, then multiply by 72.

When we have a number to a fraction power, we need to note that

• It's the same as taking the denominator root of the base to the numerator power

Therefore, our expression will be
`\sqrt[4]{16^3}`.

• 
  `16^3 = 4096`
• 
  `\sqrt[4]{4096} = 8`

Now that we have this much, we need to multiply it by 72 as our formula read
`72m^{(3)/(4)}`.

• 
  `72 \cdot 8=576`

Therefore, an animal weighing 16 kg needs to consume 576 calories.

Hope this helped!