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<h2>Half Life</h2>
The half life period is the time in which only half of the given population remains. It can be represented through this equation:
- <em>t</em> = time passed
- <em>a</em> = y-intercept
- <em>h</em> = half life
We're given:
- <em>h</em> = 28 million years
- <em>a</em> = 184 grams (this is the initial mass, after 0 time has passed)
For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.
This can be calculated simply by multiplying the given half-life by 3:
28 million years x 3
= 84 million years
<h2>Answer</h2>84 million years
For this case we have the following system of equations:
We multiply the first equation by -1:
We have the following equivalent system:
We add the equations:
Equality is not fulfilled, so the system of equations has no solution.
Answer:
Option C