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Answer:
Explanation:
The question is "Einstenium-253 is an element that loses about 2/3 of its mass every month. A sample of einstenium-253 has 450 grams. Write a function that gives the sample's mass in grams, S(t) from today".
Since <em>einstenium-253 loses about 2/3 of its mass every month</em>, you can model the amount of sample by an exponential decay function, which is a geometric progression with a growing factor less than 1.
The general form of an exponential decay function is:
Where:
- A₀ is the initial value
- r is the growing or decaying factor
- t is the time
- y is the value of the function at time t.
In this case, you have:
- A₀ = 450
- r = 2/3
- t = t
- y = S(t)
Now you can replace the values in the model and will obtain: