A robot can complete 7 tasks in 4/5 hour. Each task takes the same amount of time. a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a. It takes the robot hour(s) to complete one task.

A) To solve this we have to find the unit rate of hours so 60/5 is 12 and 12 times 4 is 48 which is the time it takes to complete 7 tasks. We know that it takes 48 minutes to do 7 takes so 48/7 is about 6.85 minutes which the unit rate.

It takes about 6.85 minutes to complete one task.

B) if the robot can complete 7 tasks in 48 minutes how many minutes is there left to spare? 60 minus 48 is 12 so we only have 12 minutes left. If it takes the robot about 6.85 minutes for one tasks 12-6.85 is 5.12 meaning that there is only 1 other tasks that is able to be completed.

The robot can complete 8 tasks in 1 hour.

C) It takes the robot 0 hours and about 7 minutes to complete one task as explained in question A.

nada

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!