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How do you determine if the equation y = (11)^x represents exponential growth or decay?

A) Exponential growth
B) Exponential decay
C) Neither growth nor decay
D) Insufficient information to determine

User Metlira
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1 Answer

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Final answer:

The equation y = (11)^x represents exponential growth because the base of the exponent, 11, is greater than 1, indicating an increase in y as x increases.

Step-by-step explanation:

The equation y = (11)^x represents exponential growth. This is because the base of the exponent, which is 11 in this case, is greater than 1. Whenever you have an exponential function of the form y = b^x, where b > 1, it indicates that as the value of x increases, the value of y increases at an ever-increasing rate, which is the definition of exponential growth. On the other hand, if 0 < b < 1, it would represent exponential decay, as the value of y decreases as x increases.

User Ali Rehman
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