Question

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

Answer 1

Answer:

Decrease of 63.5%.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

$y = y(0)(1+r)^{x}$

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:

$y = 3100(0.365)^x$

So

$1 - r = 0.365$

$r = 0.365 - 1 = -0.635$

So a decrease of 63.5%.

Answer 2

Answer:

63.5

Step-by-step explanation: