13
RCMultiple Choice

Unit Test — Cumulative exam

Question 13 • S1S-OC: Pre-Calculus A (E3700 - AG)

The equation M = 0.6666 log x – 3.2 represents the magnitude of an earthquake depending on the energy it produces. What does 0.6666 represent?

Answer
A
the growth factor
B
the value of M when x equals 1
C
the magnitude of the earthquake
D
the energy produced by the earthquake

Explanation

In the equation M = 0.6666 log x – 3.2, 0.6666 is the coefficient multiplying log x, so it determines how quickly M changes as the logarithm of the energy changes. It acts as a growth factor. When x = 1, log 1 = 0, so M is –3.2, not 0.6666.

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