Question

Can you please help me

Answer 1

the initial amount of rabbits was there at the beginning of the count, that is at year 0, namely when x = 0, and that's

`r(0)=34(1.85)^0\implies r(0)=34(1)\implies r(0)=34`

now, for the growth rate, let's cover that using the Exponential Growth Equation

`\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &34\\ r=rate\to 85\%\to (85)/(100)\dotfill &0.85\\ t=years\dotfill &t \end{cases} \\\\\\ A = 34(1 + 0.85)^(t) \implies A = 34( 1.85 )^(t)\hspace{5em}\stackrel{\textit{grows each year about}}{\text{\LARGE 85\%}}`