Question

Which two of the following are applications of the Logarithmic model? *

20 points
College GPA
Richter Scale
Acidity/Alkilinity
Compound Interest
Amortization Schedule

Answer 1

Question:

a. College GPA

b. Richter Scale

c. Acidity/Alkalinity

d. Compound Interest

e. Amortization Schedule

Answer:

The correct two options are;

b. Richter Scale

c. Acidity/Alkalinity

Explanation:

Here we have

b. The Richter Scale, given by the following relation;

`M = log((I)/(I_0) )`

M = Earth quake magnitude

I = Earthquake intensity

I₀ = Earthquake intensity of magnitude 0

Comparing two Earthquakes, A and B, we have

`M_A - M_B = log((I_A)/(I_B) )`

c. Acidity/Alkalinity are determined by the pH of the solution, which is the negative logarithm of the hydrogen ion concentration

pH = -log₁₀ [H⁺].