Question

Identify the type of solution represent by f(x) =3(1.5)x

Answer 1

Answer: Exponential growth.

Step-by-step explanation:

1. You have the following function:

$f(x)=3(1.5)^{x}$

2. By definition, an exponential function has the following form:

$f(x)=ab^{x}$

Where a is the coefficient, b is the base and x is the exponent.

3. The growth of this function is non-linear, because the rate of growth is not constant.

4. For example if in the function given in the problem x=4, this  means that y=3(1.5*1.5*1.5*1.5)

5. Therefore, the answer is exponential growth.