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What is the exponential growth rate (percent rate of change) of the equation below? \( y=(1.36)^{x} \) \( 36 \% \) \( 136 \% \) \( 64 \% \) \( 13.6 \% \)

Ask by Moran Griffiths. in the United States
Mar 19,2025

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The exponential growth rate is 36%.

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The Deep Dive

When evaluating the exponential growth rate in the equation \( y=(1.36)^{x} \), the base of the exponent (1.36) represents the growth factor. To find the percent rate of change, you subtract 1 from the base and then multiply by 100. So, \( (1.36 - 1) \times 100 = 36\% \). That means the correct answer is \( 36\% \), illustrating how quickly values will grow with each unit increase in \( x \)! In real-world scenarios, a growth rate of 36% indicates a robust growth trajectory. For instance, if a business experiences a 36% increase in customers year over year, it's on a fantastic upward trend, allowing for potential reinvestment and expansion opportunities—definitely a cause for celebration!

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