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Modeling with Exponential and Logarithmic Equations

Question 14 • FL-1200330-Algebra 2 CR

The loudness of a compactor is 94 dB. Its sound intensity is about 0.00250.00430.0081.

Answer
A
0.0025
B
0.0043
C
0.0081

Explanation

Use the decibel formula, β = 10 log₁₀(I/I₀), where the reference intensity I₀ is 10⁻¹² W/m². For β = 94 dB, I = 10⁻¹² × 10^(94/10) ≈ 0.00251 W/m². This is about 0.0025, so the correct choice is A.

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