Question

the function f models the intensity of an x - ray beam, in number of particles in the x - ray beam, t millimeters below the surface of a sample of iron. according to the model, what is the estimated number of particles in the x - ray beam when it is at the surface of the sample of iron? a 500 b 12 f(t)=500(0.5)^t

Explanation:

Step1: Identify the value of t

When at the surface of the sample, \(t = 0\)

Step2: Substitute t into the function

Substitute \(t = 0\) into \(f(t)=500(0.5)^{\frac{t}{1}}\), we get \(f(0)=500(0.5)^{0}\)
Since any non - zero number to the power of 0 is 1, \((0.5)^{0}=1\), so \(f(0)=500\times1 = 500\)

Answer:

A. 500