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

Respuesta :

Answer:

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.