A family ice show is held at an enclosed arena. The skaters perform to music with level 80.0dB. This level is too loud for your baby, who yells at 75.0 dB. (a) What total sound intensity engulfs you? (b) what is the combined sound level ?

Explanation

To solve the problem step by step, we will calculate the total sound intensity and the combined sound level from the given sound levels of the music and the baby’s yell.

### Step 1: Understand the relationship between sound level (in dB) and intensity
The sound level in decibels (dB) is related to intensity (I) by the formula:
\[ L = 10 \log_{10} \left( \frac{I}{I_0} \right) \]
where \(L\) is the sound level in dB, \(I\) is the intensity, and \(I_0\) is the reference intensity, typically \(I_0 = 10^{-12} \, \text{W/m}^2\).
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