Question

18 mark for review ab f(t)=500(0.8)^t 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 c 5 d 2

Explanation:

Step1: Identify the value of t at the surface

At the surface of the sample, \(t = 0\) millimeters.

Step2: Substitute t = 0 into the function

Substitute \(t = 0\) into \(f(t)=500(0.8)^t\). According to the exponent - rule \(a^0 = 1\) for \(a
eq0\), when \(t = 0\), \(f(0)=500\times(0.8)^0=500\times1 = 500\).

Answer:

A. 500