Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y, equals, 3300, left bracket, 0, point, 9, 4, 9, right bracket, to the power x
y=3300(0.949)
x
Answer
Attempt 1 out of 2
Growth
% increase
The given exponential function is y = 3300(0.949)^x.
To determine whether the change represents growth or decay, we need to analyze the base of the exponent, which in this case is 0.949.
Since the base (0.949) is between 0 and 1, the function represents decay.
To determine the percentage rate of decrease, we subtract the base from 1 and then multiple by 100.
1 - 0.949 = 0.051
0.051 * 100 = 5.1
Therefore, the percentage rate of decrease is 5.1%.