Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y
=
72
(
0.913
)
x
y=72(0.913)
x
This represents decay, and the percentage rate of decrease is 8.7%.
To determine whether the given exponential function represents growth or decay, we need to examine the value of the base, which is 0.913 in this case.
Since the base (0.913) is between 0 and 1, the function represents exponential decay.
To find the percentage rate of decrease, we can subtract the base from 1 and then multiply by 100.
So, the percentage rate of decrease is calculated as follows:
(1 - 0.913) * 100 = 0.087 * 100 = 8.7%
Therefore, the given exponential function represents exponential decay with a percentage rate of decrease of 8.7%.