Question

carbon-14 is an element that loses about 10% of its mass every millennium (i.e., 1000 years). A sample of carbon-14 has 600 grams. write a function that gives the sample’s mass in grams, S(t), t millennia from today.

Answer 1

Answer:

S(t) = 600/(0.9^t)

Step-by-step explanation:

Current mass: 600 grams

If every millennium loss 10% of its mass, it retains 90%, so a millennium ago the mass was: 600/0.9 = 666.67 grams; two millennia it was: 666.67/0.9 = 600/(0.9^2) = 740.74, and so on.

Then, the explicit formula is:

S(t) = 600/(0.9^t)

where t refers to millennia from today.

Answer 2

Answer:

1000-100(T)

Step-by-step explanation:

1000

-1000 for each millennia