The half-life is the time it takes for only half of something to remain. For example, if there are 100 atoms, after one half-life time period, 50 atoms remain. At the beginning of a time period, there are 16 atoms of a radioactive substance. Which table shows the correct equations and number of atoms of the substance remaining after each half-life time period, x, passes?
Question
Answer:
First we define the variable to be used:x: half-life time period
The equation for this problem can be modeled as:
y = A * (b) ^ x
Where,
A: initial amount
b: decrease rate.
For example:
if there are 100 atoms, after one half-life time period, 50 atoms remain:
y = 100 * (0.50) ^ x
after one half-life time period (x = 1):
y = 100 * (0.50) ^ 1
y = 50
The equation that models the problem is:
y = 16 * (0.50) ^ x
The table is:
1 8
2 4
3 2
4 1
5 0.5
solved
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11 months ago
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