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

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol