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

Answer:

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

Step-by-step 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, $72m^{\frac{3}{4}}$. Since we want to find how much a 16 kg dog needs to eat, we substitute 16 in as m.

$72\cdot 16^{\frac{3}{4}}$

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 $16^{\frac{3}{4}}$, 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 $72m^{\frac{3}{4}}$.

• $72 \cdot 8=576$

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

Hope this helped!