Question

When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y (in grams) of carbon-14 in the body of an

organism after t years is y = a(0.5)
t/5730
where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round
your answer to the nearest hundredth.
his
about
%​

Answer 1

0.01 %

Explanation:

The given model is;

y = a (0.5)^t/5730

Which is;

y = a(2^-1(t/5730)

Then;

y = a (2^-1/5730)^t

y = a(0.999879)^t

Hence;

Given that the general model is;

y(x)= a(1-r)^x

Where r is the rate percent

Since 1-r =0.999879

r = 0.00012096

y = a(1 - 0.00012096)^t

So;

r= 0.00012096* 100 = 0.01 %