we are asked to find an expression to determine the diameter of a tree as a function of time. Since we are told that the initial diameter is 15 cm and that the diameter increases 0.5 cm/year. This means that to the 15 cm of the initial diameter we need to add the amount that the diameter increased per year by the number of years, that is, is "x" is the number of years, that we need to add 0.5x. The equation is then:
Where D is the diameter.