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The given exponential equation is y = 74(1.848)^x. Determine whether it represents growth or decay and calculate the percentage.

User R Day
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1 Answer

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Final answer:

The given exponential equation y = 74(1.848)^x represents growth with a percentage of 84.8%.

Step-by-step explanation:

The given exponential equation is y = 74(1.848)^x. To determine whether it represents growth or decay, we need to analyze the base of the equation (1.848). If the base is greater than 1, it represents growth, and if it is between 0 and 1, it represents decay.

In this case, the base (1.848) is greater than 1, so the equation represents exponential growth.

To calculate the percentage of growth, we can subtract 1 from the base and multiply it by 100.

Growth percentage = (1.848 - 1) × 100 = 0.848 × 100 = 84.8%.

User Dcoz
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