Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rat

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=540(1.04)^x

1 thought on “Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rat”

  1. The function y=540(1.04)^x represents exponential growth. The rate of increase can be determined by finding the value of 1.04^x.
    For example, if x=1, then the value of 1.04^1 is 1.04, which represents a 4% increase. If x=2, then the value of 1.04^2 is 1.0816, which represents an 8.16% increase. If x=3, then the value of 1.04^3 is 1.1265, which represents a 12.65% increase.
    In general, as the value of x increases, the value of 1.04^x increases at a faster rate, resulting in an exponential growth curve. The percentage rate of increase is determined by the value of 1.04. In this case, the percentage rate of increase is 4% per unit increase in x.

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