Answer:
[tex]f(x)=40*2^x[/tex]
Step-by-step explanation:
Mr Samuel Planted 40 pepper plants in 2005.
Therefore:
f(0)=40
Each year the number of pepper plants doubled.
In 2006, f(1)=40*2
In 2007, f(2)=40*2*2[tex]=40*2^2[/tex]
In 2008, f(3)=40*2*2*2[tex]=40*2^3[/tex]
If we continue in like manner. The number of pepper plants after x years will be given by the exponential function:
[tex]f(x)=40*2^x[/tex]
where 40 is the initial number and 2 is the growth factor.
