Question

the rat population in a major metropolitan city is given by the formula n(t)=77e^0.03t where t is measured in years since 2003 and n(t) is measured in millions. what was the rat population in 2003?

Answer 1

The rat population in a major metropolitan city in 2003 was 77 million, as found by substituting t=0 into the exponential growth formula n(t) = 77e^0.03t.

Step-by-step explanation:

To find the rat population in a major metropolitan city in 2003, we use the given exponential growth formula n(t) = 77e^0.03t, where t is the number of years since 2003. Since we want to determine the population in the year 2003, we will set t to 0. Plugging in the values, we get:

n(0) = 77e^0.03(0)

n(0) = 77e^0

n(0) = 77 × 1

n(0) = 77

Therefore, the rat population in 2003 was 77 million.