Question

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

Answer 1

It is a growth rate of 86%.

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.