f(t) = 800(1/2)^(t/5700)
You can see that every time t increases by 5700, you have another power of 1/2, or a half-life.
So, using that, just plug in your values for t.
You can get an estimate by noting that
11400 = 2*5700
45000 ≈ 8*5700
Set up an exponential function to model each real world situation then use it to find the requested values.
The half-life of Carbon 14 is about 5700 years. You begin with 800 grams of this isotope.
1) Function:
2) How much Carbon 14 is there after: a) 11,400 years b) 45,000 years
1 answer
1 answer