Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=9300(0.991) ^6

Answer 1

Using exponential function concepts, it is found that it represents a decay of 0.9%.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem, the function is:

$A(t) = 9300(0.991)^{6t}$

Hence:

$1 - r = 0.991$

$r = 0.009$

Thus, it represents a decay of 0.9%.

You can learn more about exponential function concepts at brainly.com/question/25537936