In 2003, the population of the state of New York was 10.78 million people. In 1990, it was 7.99 million. Using the population growth
formula y = ae

kt, determine the value of k, New York's relative rate of

growth.
a. When will New York's population reach 15 million people?
b. Nevada's population in 1990 was 14.2 million and can be modeled
by y = 14. 2e

0.0079t. Determine when New York’s population will

surpass Nevada's.