[tex]y = 6.49e^{0.0197t}[/tex]
We know that y = 8. So we will plug in 8 for y and solve for t.[tex]8 = 6.49e^{0.0197t} \\ \frac{8}{6.49} = e^{0.0197t} \\ 1.232 = e^{0.0197t} \\ ln (1.232) = ln(e^{0.0197t}) \\ 0.2092 = 0.0197t \\ t = \frac{0.2092}{0.0197} = 10.6[/tex]
You can say that the population will reach 8 million in about 10.6 years (or 11 if they want it rounded).
