The population p of a city is given by

p=240,360e^0.012t where t=0 represents 1990. According to this model, when will the population reach 275,000?

I know that you have to sustitute 275,000 into the p but I do not know how to solve it.

1 answer

275000 = 240360e^.12t
divide by 241360
1.144117 = e^.012t

Look for a key labeled 'e^x' on your calculator, on my I now press 2nd e^x to get
.012t = 3.13967
t = 261.6 (in 261 years ???)

Add 261.6 to 1990
( I will not argue with the logic of this question)