First, we are going to find the number of years form 2005 to 2014; to do it, we are going to subtract 2005 from 20014:
Number of years = 2014 - 2005 = 9 years
Now, we are going to replace [tex]x[/tex] with 9 in our function:
[tex]f(x)=75(1.2)^x[/tex]
[tex]f(x)=75(1.2)^9[/tex]
[tex]f(x)=386.98[/tex]
Rounded to the nearest integer:
[tex]f(x)=387[/tex]
We can conclude that in the year 2014 will be approximately 387 rainbow tout in the lake.
