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Pre-Cal 40S Slides April 16, 2007
Pre-test and review for test on logarithms and exponents tomorrow.
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Slideshow Transcript
- Slide 4: Find Find
- Slide 6: Sugar is put into a large quantity of water and the mixture is stirred. After 2 minutes 50% of the sugar has dissolved. How much longer will it take until 90% of the sugar has dissolved? (Model the sugar dissolving as an exponential decay function.)
- Slide 8: A $12 000 car depreciates exponentially, losing each year 8% of the value it had at the begining of the year. What is the value of the car 6 years and 3 months after its purchase?
- Slide 10: What is the domain of
- Slide 12: The half life of Iodine-131, a radionuclide used in diagnosing thyroid disease, is 8 days. (a) If the X-ray department of the Grace Hospital has 1000 mg of Iodine-131, write the amount of Iodine-131 remaining after t days. (b) How many days must pass before the Iodine-131 drops to a level of 100 mg?
- Slide 13: The decibal (dB) is used to measure the loudness of sound. Barely audible sound has a decibal level of 0 and an intensity level of 10-12 W/m2 (watts per square meter). Sound painful to the ear has a decibal level of 130 and an intensity of 10 W/m2. The formula gives the decibal level of a sound whose intensity is I; I0 is the intensity of barely audible sound. Some decibal levels and intensities are shown in the table below; the intensity is given in watts per square meter. (a) The intensity of thunder is 1012 times the intensity of barey audible sound. What is the decibal level of thunder? (b) If the decibal levels of a subway train entering a station and normal conversation are 100 dB and 60 dB, respectively, how many times as intense as normal conversation is the noise of the subway train? ANSWER: 10 000 times
- Slide 14: At the begining of an experiment a colony of flibberdejibbets has 2 million members. After 4 hours the population has increased by 20%. At that time a biologist, Dr. Trapper John, treats the colony with an agent that slows the colony’s rate of growth. At the new growth rate, the colony takes three times as long to double in size as at the old growth rate. How long after the treatment with the size of the colony of flibberdejibbets reach 12 million? ANSWER: 106 hours
