Population decline: The population N , in thousands, of a city is decreasing exponentially with time t (measured in years since the start of XXXXXXXXXXCity analysts have given the following linear...

Population decline: The population N , in thousands, of a city is decreasing exponentially with time t (measured in years since the start of 2008). City analysts have given the following linear model for the natural logarithm of population:

ln N = −0.051t + 1.513 .

a. Find an exponential model for population.

b. By what percentage is the population decreasing each year?

c. Express using functional notation the population at the start of 2011 and then calculate that value.

 d. When will the population fall to a level of 3 thousand?