Answer:
The y-intercept = (0, 12621)
Explanation:
The initial population, P₀ = 12,621
Rate of increase, r = 6% = 6/100
r = 0.06
The number of years after the first census = x
The population after x years is given as:
[tex]\begin{gathered} P=P_0(1+r)^x \\ P=12621(1+0.06)^x \\ P=12621(1.06)^x \end{gathered}[/tex]
The graph that represents the above illustration is shown below
The y-intercept is found by setting x = 0, and finding the corresponding value of P
[tex]\begin{gathered} P=12621(1.06)^x \\ P=12621(1.06)^0 \\ P=12621 \end{gathered}[/tex]
The y-intercept = (0, 12621)
