Question

3 166.40 266.24 3. Consider the following functions which all have an or decay? By what percent? Rewrite as (1+r) or (1-r) f(t) = 30(1.04) p(x) = 30(0.65)Solve f(t)

Answer 1

Function f(t) represents a growth by 4%

Step-by-step explanation

If the function represents a decay it is written as:

`f(t)=a(1-r)^t`

and if it represents a growth it's:

`f(t)=a(1+r)^t`

We can see if it's a growth or decay by looking at the number we have between parenthesis: if it's greater than 1, then it's a growth and if it's less than 1 then it's a decay.

For function f(t) we have

`1+r=1.04`

Therefore, r = 0.04 which, expressed as a percent is 4%