Question: unit 6: exponential functions 8. The energy released during an earthquake can be calculated using the formula E(M) = (101.5)M where E is the energy

unit 6: exponential functions

8. The energy released during an earthquake can be calculated using the formula E(M) = (101.5)M where E is the energy in kWh (kilowatt hours) and M is the magnitude of the earthquake. a. The magnitude 9.5 earthquake in Southern Chile on May 22, 1960 is thought to be the strongest earthquake that has ever occurred. Use the formula above to calculate the energy released during this earthquake. Express the answer in scientific notation, to the nearest tenth. (1 mark) An earthquake of magnitude 3 may not be felt or noticed by most people. Calculate the energy, to the nearest tenth, that is released during an earthquake of this strength. (1 mark) 4 c. Compared to a magnitude 3 earthquake, how many times greater was the energy that was released during the 1960 earthquake in Chile? (1 mark) d. An earthquake that occurred in Central Canada in 2010 released approximately 30 000 000 kWh energy. Find the magnitude, to the nearest whole number, associated with this earthquake. Show work, or describe how this was found on your calculator. (1 mark)

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