Answer:
Option 3 - [tex]y=14(1.95)^x[/tex]
Step-by-step explanation:
To find : Which function represents exponential growth?
Solution :
The general form of exponential function is [tex]f(x)=a(b)^x[/tex]
where, a is the initial value and b is the growth/decay rate factor.
If b>1 then it is the growth factor.
If b<1 then it is decay factor.
Now, From the given options
1) [tex]y=14(0.95)^x[/tex]
Since, 0.95 <1 it is a decay exponential function.
2) [tex]y=14x^{1.95}[/tex]
It is not in form of exponential function.
3) [tex]y=14(1.95)^x[/tex]
Since, 1.95 >1 it is a growth exponential function.
4) [tex]y=14/(1.95)^x[/tex]
It is not in form of exponential function.
Therefore, Option 3 is correct.
