a. In 2000 , the population of a country was approximately 6.44 million and by 2060 it is projected to grow to 11 million. Use the exponential growth model $A=A_{00} e^{k t}$, in which $t$ is the number of years after 2000 and $A_{0}$ is in millions, to find an exponential growth function that models the data. b. By which year will the population be 16 million? a. The exponential growth function that models the data is $A=$ (Simplify your answer. Use integers or decimals for any raninbers in the expression. Round to two decimal places as needed.)

Step 1 ：We are given that the population in 2000 (t=0) is 6.44 million, so \(A_{0} = 6.44\). We are also given that the population in 2060 (t=60) is 11 million. We can substitute these values into the exponential growth model to solve for the growth rate k.

Step 2 ：Using the given values, we can set up the equation as follows: \(11 = 6.44e^{60k}\).

Step 3 ：Solving this equation for k, we get \(k = 0.008922778878035139\).

Step 4 ：Now that we have the value of k, we can substitute it back into the exponential growth model to get the function that models the data.

Step 5 ：Substituting the values of \(A_{0}\) and k into the equation, we get \(A(t) = 6.44e^{0.0089t}\).

Step 6 ：\(\boxed{A(t) = 6.44e^{0.0089t}}\) is the exponential growth function that models the data.