For the function fx134113x determine the following values A

For the function f(x)=13.4(1.13)^x determine the following values.

A/ The initial value:

B/ The 1-unit growth factor:

C/ The 4-unit growth factor:

D/ The 4-unit percent change: %

E/ The 1/3-unit growth factor:

F/ The 1/3-unit percent change: %

Solution

f(x)=13.4(1.13)^x

A/ The initial value:13.4

B/ The 1-unit growth factor:1.13

C/ The 4-unit growth factor:(1.13)⁴=1.63047

D/ The 4-unit percent change:(1.63047-1)*100 % =63.047%

E/ The 1/3-unit growth factor:(1.13)^1/3=1.04158

F/ The 1/3-unit percent change:(1.04158-1)*100 % =4.158%