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Given the exponential function y = 93(0.65)ˣ, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

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Final answer:

The given exponential function y = 93(0.65)^x represents decay with a percentage rate of decrease of 35.0%.

Step-by-step explanation:

The given exponential function y = 93(0.65)x represents decay because the base, which is 0.65, is less than 1.

To determine the percentage rate of decrease, we can compare the initial value (93) to the final value after one unit of time.

Using the given function, when x = 1, we have y = 93(0.65)1 = 60.45.

So, there is a decrease of 93 - 60.45 = 32.55.

The percentage rate of decrease can be found using the formula: (32.55 / 93) * 100 = 35.0%.

Therefore, the percentage rate of decrease is 35.0%.

User Jiro Matchonson
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