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.

The function that gives the sample's mass after t millennia can be derived

from the equation for decreasing rate formula.

Reasons:

The rate at which carbon-14 loses its mass = 10% per millennium

The initial mass of the sample of carbon-14 = 600 grams

Required:

A function that gives the mass of the sample in grams S(t), in t millennia

from today.

Solution:

The formula for decreasing rate is; y = a·(1 - r)ˣ

Where:

y = S(t) = The mass of the sample after t millennia

x = t = The number of millennia

a = Initial mass = 600 grams

r = The decay rate = 10% = 0.1

By plugging in the above values, we get;

Lear1n more about the expression for the rate of decrease here:

link

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )