Answer:
[tex]f(x)=0.7(5)^x[/tex]
Step-by-step explanation:
[tex]\text{Exponential function: }y=a\cdot b^x[/tex]
It is two types of function.
- Exponential Growth: If function increase as value of x increase.
In this case, a>0 and b>1
- Exponential decay: If function decrease as value of x increase.
In this case, a>0 and 0<b<1
We need to choose exponential growth function.
[tex]\text{Exponential Growth function: }f(x)=0.7(5)^x[/tex]
Here a=0.75>0 and b=5>1
Therefore, This function is exponential growth.
