For a certain species of tree, the average height of the tree after 2 years is 4 feet, and after 6 years the height of the tree is 19 feet.

Assume that the annual growth of the tree is linear for 1 lessthanorequalto t lessthanorequalto 24.

(a) Find the annual rate of change of the height of the tree in feet per year. Annual rate of change = feet/year

(b) Find a function for the height h of the tree in feet as a function of time t in years.

(c) Find the domain of die function from part (b). Enter in interval notation.

(d) How tall will the tree be after 18 years? h = feet

(e) After how many years will the tree be 27 feet tall? t = years