The population in Cincinnati, OH has been shrinking exponentially at a continuous rate.
On January 01, 1950, the population was 504,000. On January 01, 2010, the population was 297,000.
Answer the following:
(a) Use the given data to determine the annual exponential rate k in the exponential model N = No ekt for Cincinnati, OH.
Note: Keep your answer exact! Decimal approximations will be marked as incorrect.
k =
133
1500
X
(b) Use the exponential model to predict the population of Cincinnati, OH in January 01, 2014.
Give an exact answer, or an answer correct to the nearest whole number.
Population in 2014 = 1691