Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y
=
640
(
0.23
)
x
y=640(0.23)
x
This exponential function represents decay. The percentage rate of decrease is 77%, which can be calculated as (1-0.23)x100%.
To determine whether the given exponential function represents growth or decay, we need to examine the base of the exponent.
In this case, the base of the exponent is 0.23. Since the base is between 0 and 1, it represents decay.
To determine the rate of decay, we need to convert the base to a percentage rate. We can do this by multiplying the base by 100.
0.23 * 100 = 23
Therefore, the percentage rate of decay is 23%.