the state in 2035 Let $y(t)$ be the population of the state, in millions, $t$ years after the year 2000 . Give the exponential growth function for this state's population \[ \mathrm{y}(\mathrm{t})=21.8 e^{0.015 \mathrm{t}} \] (Type an expression. Round coefficients to three decimal places as needed) The estimated population in 2035 is 342 million (Round the final answer to one decimal place as needed Round all intermediate values to three decimal places as needed)

Step 1 ：Let \(y(t)\) be the population of the state, in millions, \(t\) years after the year 2000. The exponential growth function for this state's population is given by \[y(t)=21.8 e^{0.015 t}\]

Step 2 ：We are asked to find the estimated population of the state in the year 2035. To do this, we substitute \(t = 2035 - 2000 = 35\) into the function.

Step 3 ：Substituting \(t = 35\) into the function, we get the population as \(36.852002894664196\) million.

Step 4 ：Rounding this to one decimal place, we get the population of the state in 2035 as approximately \(36.9\) million.

Step 5 ：Final Answer: The estimated population in 2035 is \(\boxed{36.9}\) million.