Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y
=
15
(
0.94
)
x
y=15(0.94)
x
This represents decay since the base, 0.94, is between 0 and 1. The percentage rate of decrease is 6% (100% - 94%).
To determine whether the given exponential function represents growth or decay, we need to examine the value of the base of the exponent, which is 0.94 in this case.
Since 0.94 is between 0 and 1, the exponential function represents decay.
To determine the percentage rate of decrease, we can subtract the base from 1 and then multiply by 100.
(1 - 0.94) * 100 = 0.06 * 100 = 6%
Therefore, the given exponential function represents decay with a percentage rate of 6% decrease.