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…

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
Answer
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\neq0), when (t = 0), (f(0)=500\times(0.8)^0=500\times1 = 500).
Answer:
A. 500