Answer:
Part A:
The number of plants Nestor will pot in 1 hour is:
6 plants.
Part B:
The number of plants that he will be able to pot in 3 1/2 hour is:
21 plants.
Step-by-step explanation:
Part A:
It is given that:
Nestor takes 2 1/2 hours to pot 15 plants.
i.e.
It takes him 5/2 hours to pot 15 plants.
Hence, In 1 hour he will pot:
[tex]\dfrac{15}{\dfrac{5}{2}}\ \text{plants}\\\\=\dfrac{15\times 2}{5}\ \text{plants}\\\\=6\ \text{plants}[/tex]
Part B:
Also, if he continues to work at the same rate then the number of plants he will pot in 3 1/2 hour is:
( We know that:
[tex]3\dfrac{1}{2}=\dfrac{3\times 2+1}{2}\\\\i.e.\\\\3\dfrac{1}{2}=\dfrac{7}{2}\ \text{hour}[/tex] )
Hence, the number of plants that will be potted in 7/2 hours is:
[tex]=6\times \dfrac{7}{2}\\\\=21\ \text{plants}[/tex]