Charles and Amy are part of the Environmental Club at school. Their service project for the semester is to get a tree for their school donated and plant it on the school grounds. Charles' uncle owns a tree nursery and is willing to donate a $3-$foot tall tree that he says will grow $1\mathrm{.}5$ feet per year.

Amy goes to another nursery in town, but is only able to get tree seeds donated. According to the seed package, the tree will grow $1\mathrm{.}75$ feet per year. Charles plants his tree and Amy plants a seed on the same day. Amy thinks that even though her tree will be much shorter than Charles' tree for the first several years, it will eventually be taller because it grows more each year, but she doesn't know how many years it will take for her tree to get as tall as Charles' tree.

$$Write your let statement

$$Write an equation to model Charles' tree growth

$$Write an equation to model Amy's tree growth

Will the trees ever be the same size? If so$,$ how many years will it take?