We were given that:
The iguana is 42cm at birth
It increases by 12% every week; r = 12% = 0.12
The number of weeks is represented by ''x'' & the length of the Iguana is represented by ''y''
This function is represented by the expression below:
[tex]\begin{gathered} f\mleft(x\mright)=a\mleft(1+r\mright)^x \\ where\colon r=growth.rate \\ a=initial.length \\ f\mleft(x\mright)=y \\ \Rightarrow y=a(1+r)^x \\ y=a(1+r)^x \\ a=42,r=0.12 \\ \text{Substituting the variables into the equation, we have:} \\ y=42(1+0.12)^x \\ y=42(1.12)^x \\ \\ \therefore y=42(1.12)^x \end{gathered}[/tex]
