SOLUTION: I would like to know the following word problem, The population ofToronto in 1980 was 60,000. In 1995 the population was 80,000. Determain when the population will reach 500,00

Question 1132025: I would like to know the following word problem,
The population ofToronto in 1980 was 60,000. In 1995 the population was 80,000. Determain when the population will reach 500,000.
It would be greatly appreciated if you can help me with this!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
P-ab^x
at time 0, 60000=a*b^0
a is 60000
at time 15 (years after 1980)
80000=60000*b^15
4/3=b^15
take the 15th root of 4/3
b=1.01936
500000=60000*1.01936^x
8.3333=1.01936^x
ln both sides
ln 8.3333=x ln 1.01936
x=ln 8.3333/ln 1.01936
=110.57 years or in mid 2091.
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