Math decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points)f(x) = 4.7 ⋅ 1.09x a) exponential decay function; 109%b) exponential growth function; 0.09%c) exponential growth function; 109%d) exponential growth function; 9%

Exponential functions are mostly used to represent growth of population.

The true option is: (d)  Exponential growth function; 9%

The function is given as:

An exponential function is represented as:

By comparison:

When b is greater than 1, then the function is a growth function.

Next, we calculate the constant percentage rate of growth (r)

If b is greater than 1, then:

Substitute 1.09 for b

Subtract 1 from both sides

Express as percentage

Hence, the growth rate is 9%

Hence, the true option is: (d)  Exponential growth function; 9%

Read more about exponential growth and decay functions at:

link

the tale-tell fellow is the base of the exponent ˣ.

if that number is less than 1, is a decay factor, if it's more than 1, is growth.

1.09 is cleary more than 1, so is growth, at what rate?

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0

hello! just here for points! though i wish i knew!