Respuesta :
Answer:
Exponential growth function; 3%
Step-by-step explanation:
Answer:
Exponential growth function; 3%
Step-by-step explanation:
The given function is [tex]f(x)=9.8(1.03)^{x}[/tex]
There are two expressions to indicate growth and decay, each equation is written like this:
- If the base of the function is between 0 and 1, the exponential function is a decay function.
- If the base of the function is more than 1, the exponential function is a growth function.
In this case, the given function is an exponential growth function, because 1.03>1. Therefore, the given function expresses decay.
The initial value of the function is when x = 0. Replacing initial value, we have:[tex]f(0)=9.8(1.03)^{0}=9.8[/tex]; which means that 9.8 is the initial value.
Also, the growing factor is 1.03, because is the base. In addition, the percentage rate of growth is given by:
Then, [tex]r=1.03-1=0.03[/tex], which is a 3%.
