Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y
=
3300
(
0.949
)
x
y=3300(0.949)
This represents decay, with a percentage rate of decrease of 5.1%.
To determine whether the given exponential function represents growth or decay, we need to examine the base of the exponent, which is 0.949.
Since the base (0.949) is less than 1, the function represents decay.
To determine the rate of decay, we can calculate (1 - base) and convert it to a percentage. In this case, the rate of decay is:
1 - 0.949 = 0.051
To convert 0.051 to a percentage, we multiply it by 100:
0.051 * 100 = 5.1%
Therefore, the percentage rate of decrease in the function is 5.1%.