Question: 1. The function D(x) = 93 log r + 65 relates the distance, in kilometers, that a particle travels in relation to time, r, in

1. The function D(x) = 93 log r + 65 relates the distance, in kilometers, that a particle travels in relation to time, r, in seconds. a) How far does it travel in 45 seconds? b) How long will it take to travel 798 km? 2. The level of sound in decibels (dB) is ( ) 12 SL = 10log | 10 where I is the intensity of the sound in watts per square metre (W/m2 ). a) What is the sound level when the intensity is 2.51x10-5 W/m2? b) The threshold of pain to the human ear is 120 dB. A manufacturing factory has an intensity of 6.31x10^-4. Is the sound level in the factory bearable to the human ear? 3. An earthquake of magnitude 8.3 on the Richter scale killed 200,000 in Tokyo in 1923. In 1976, an earthquake of magnitude 7.5 killed 23,000 in Guatemala. How many more times intense was the earthquake in Tokyo. M = log

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