Question

I am looking for C... my mind is drawing a blank :( lol 8000000=6490000e^.0197t ?

Answer 1

$y = 6.49e^{0.0197t}$

We know that y = 8.  So we will plug in 8 for y and solve for t.$8 = 6.49e^{0.0197t} \\ \frac{8}{6.49} = e^{0.0197t} \\ 1.232 = e^{0.0197t} \\ ln (1.232) = ln(e^{0.0197t}) \\ 0.2092 = 0.0197t \\ t = \frac{0.2092}{0.0197} = 10.6$

You can say that the population will reach 8 million in about 10.6 years (or 11 if they want it rounded).