Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=3100(0.365)^x




Growth

% increase

Respuesta :

Answer:

Decrease of 63.5%.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]y = y(0)(1+r)^{x}[/tex]

In which y(0) is the initial value and r is the rate of change, as a decimal. If r is positive, it is a increase. If it is negative, it is a decrease.

In this question:

We have that:

[tex]y = 3100(0.365)^x[/tex]

So

[tex]1 - r = 0.365[/tex]

[tex]r = 0.365 - 1 = -0.635[/tex]

So a decrease of 63.5%.

Answer:

63.5

Step-by-step explanation: