Answer:
The robot can clean the room without recharging.
Step-by-step explanation:
Given:
After a robot vacuum is fully charged, it can run for [tex]15[/tex] minutes.
The robot cleans [tex]\frac{1}{2}[/tex] square foot every second.
To find: If the charged robot can clean a room that is [tex]400[/tex] square feet without recharging.
Solution:
Area cleaned by the robot in [tex]1[/tex] second [tex]=\frac{1}{2}[/tex] square foot.
We know that, [tex]1[/tex] minute [tex]=60[/tex] seconds.
So, [tex]15[/tex] minutes [tex]=15\times 60=900[/tex] seconds.
Now, area cleaned by the robot in [tex]900[/tex] seconds [tex]=\frac{1}{2} \times 900=450[/tex] square feet.
The area to be cleaned is [tex]400[/tex] square feet.
Hence, the robot can clean the room without recharging.
