Given the following exponential function, identify whether the change represents

growth or decay, and determine the percentage rate of increase or decrease.

y = 270 (1.86) ^x

It is a growth rate of 86%.

Step-by-step explanation:

Hi, to answer this question we have to analyze the exponential function:

A = P (1 + r) t

Where:

p = original population

r = change rate (decimal form)

t = time (x)

A = population after t years

Replacing with the values given:

y = 270 (1.86) ^x

Since the term 1.86 is equal to 1 + 0.86, it is a exponential growth because the rate is positive. (r = 0.86)

In percentage form: 0.86 x 100 = 86%

Feel free to ask for more if needed or if you did not understand something.