Logarithmic Modeling Worksheet
Explore logarithmic functions and their applications in modeling real-world phenomena at a Grade 9 level.
Includes
Standards
Topics
Logarithmic Modeling
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Which of the following equations represents a logarithmic function?
y = 2x + 3
y = 2^x
y = log₂(x)
y = x² + 2
2. The Richter scale, used to measure earthquake intensity, is a logarithmic scale. An earthquake with a magnitude of 7 is how many times more intense than an earthquake with a magnitude of 5?
2 times
10 times
100 times
1000 times
1. The inverse of an exponential function is a function.
2. The pH scale is an example of a scale used in chemistry.
1. Explain how logarithmic functions are used to model population growth in certain scenarios.
Graph the function y = log₂(x).
1. The domain of a logarithmic function is all real numbers.
True
False
2. Logarithmic functions have a vertical asymptote.
True
False
1. The formula for the loudness of a sound in decibels (dB) is L = 10 log(I/I₀), where I is the intensity of the sound and I₀ is the threshold of human hearing (10⁻¹² W/m²). If a sound has an intensity of 10⁻⁵ W/m², what is its loudness in decibels?
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