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Modeling with Exponential and Logarithmic Equations

Question 11 • FL-1200330-Algebra 2 CR

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.0096 0.0040.0021.

Answer
A
0.0096
B
0.004
C
0.0021

Explanation

Use the decibel formula: dB = 10 log₁₀(I/I₀), where the reference intensity I₀ is 10⁻¹² W/m². For 96 dB, I = 10⁻¹² × 10^(96/10) ≈ 0.00398 W/m², which rounds to 0.004. So the sound intensity is about 0.004, choice B.

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