College Algebra 1

Question

The exponential model A=105.5 e^ 0.015 t describes the​ population, A, of a country in​ millions, t years after 2003. Use the model to determine when the population of the country will be 121 million.

Answer 1

121=105.5*e^0.015t this equation needs to be set and solved for t to figure out how many years it should take.

Divide 121 by 105.5 which you get 1.146919 on the right side and then take ln of both sides to get t isolated by itself.

ln(1.146919)=0.015t

0.137079=0.015t

t=9.1386 approximately it should take 9 years to the nearest whole year.

Answer 2

121/105.5=e^.015t

ln(121/105.5)= .015t

1.146919=.015t

t=9.14 yrs, i.e. the population will reach 121 million in 2012