Answer
The bean plant
Work Step by Step
To find which plant grew the fastest, you divide the total height grown by the time it took to reach that height. This will give you the height grown per unit of time. In this case, inches per months (in/month).
birch tree: $\frac{\text{2.5 in}}{\text{5 months}}$=$0.5$ in/month
bean plant: $\frac{\text{8 in}}{\text{10 months}}$=$0.8$ in/month
rose bush: $\frac{\text{5 in}}{\text{8 months}}$=$0.625$ in/month
The bean plant grew the fastest.