The most common method to describe sound intensity level is in decibels (dB). The intensity level 𝛽 (in decibels) of a sound having intensity 𝐼 (in watts per meter squared) is modeled by a function of the following form.
Noisy traffic has intensity 1×10−5 watts per meter squared and that corresponds with an intensity level of 70 dB.
A loud concert has intensity 1 watt per meter squared and that corresponds with an intensity level of 120 dB.
A) Using a calculator/Desmos/your impressive brains, find the value of 𝑎 and 𝑏
B) The human eardrum can burst if exposed to 1×104 watts per meter squared. According to the model found above, what is the predicted number of decibels that would burst the human eardrum?