Question

The half-life of an element in the periodic table measured over a period of time, t, is modeled by the function f(t)=16(1) What is the initial amount of the element?A-12OB.8OC.16OD.OReset Selection

Answer 1

Answer: C. 16

Explanation

We are given the function model:

$f(t)=16(\frac{1}{2})^t$

To know the initial amount of element, this means that t = 0:

$f(0)=16(\frac{1}{2})^0$

And as something elevated to 0 equals 1, then:

$f(0)=16\cdot1=16$