Final answer:
A robot that can complete 7 tasks in 3/4 hour takes about 6.43 minutes per task, and in one hour, it can complete approximately 9.33 tasks.
Step-by-step explanation:
To answer the student's questions, let's first calculate how long it takes the robot to complete one task. Since 7 tasks are completed in 3/4 hour, we divide that time by the number of tasks to find the time per task.
Time per task = (3/4 hour) / 7
This calculation results in approximately 0.107 hours per task (rounded to three decimal places). To convert this to minutes, we multiply by 60 minutes per hour.
Time per task in minutes = 0.107 hours * 60 minutes/hour ≈ 6.43 minutes/task
For question (b), to determine how many tasks the robot can complete in one hour, we divide 1 hour by the time it takes to complete one task.
Tasks per hour = 1 hour / (3/4 hour / 7 tasks)
After performing the calculation, we find that the robot can complete approximately 9.33 tasks in one hour (rounded to two decimal places).
Conclusion
a. It takes the robot approximately 6.43 minutes to complete one task.
b. The robot can complete approximately 9.33 tasks in one hour.