I don't understand this question
The formula B=0.01m0.6 relates the mass of the brain in kilograms to the body’s
mass in kilograms. What is the mass of an animal if the brain’s mass is 4.2 kilograms?
Could someone explain to me the steps to the whole question?
Thank you!
You need to clarify the "formula" of 0.01m0.6." That doesn't mean anything to me.
Certainly! Let's break down the question and steps to solve it.
1. The formula given is B = 0.01m^0.6, where B represents the brain's mass in kilograms, and m represents the body's mass in kilograms.
2. You are given that the brain's mass (B) is 4.2 kilograms. The question asks for the body's mass (m) in this case.
3. To find the body's mass, we need to rearrange the formula to solve for m. Here's an algebraic explanation of the process:
- Start with the original formula: B = 0.01m^0.6
- Divide both sides of the equation by 0.01: B/0.01 = (0.01m^0.6)/0.01
- Simplify: B/0.01 = m^0.6
- Taking the 0.6-th root of both sides: (B/0.01)^(1/0.6) = (m^0.6)^(1/0.6)
- Simplifying: (B/0.01)^(1/0.6) = m
4. Now, let's substitute the given brain's mass (B = 4.2 kilograms) into the equation we derived:
- m = (4.2/0.01)^(1/0.6)
- Simplifying: m = 420^(1/0.6)
5. Calculate the value of 420^(1/0.6) using a calculator or other means.
- The result will be the body's mass (m) in kilograms.
And that's it! By following these steps, you will be able to find the body's mass when given the brain's mass using the given formula.