Final answer:
To find how many batteries 5 machines will produce in 14 hours, divide the total production by the number of machines to get the rate per machine (360 batteries per machine), then multiply it by 5 machines to get 1800 batteries.
Step-by-step explanation:
The student's question about how many batteries 5 machines will produce in 14 hours, given that 15 machines produce 5400 batteries in the same amount of time, is a straightforward problem of proportions that can be solved using the concept of unit rates or ratios. To find the answer, we can use the following steps:
- Calculate the unit rate of production per machine by dividing the total production of batteries by the number of machines. This gives us the production rate per machine.
- Multiply the unit rate by the number of machines we are interested in (in this case, 5 machines) to find the total production by 5 machines.
Using this method, the student can determine how many batteries will be produced by 5 machines in 14 hours:
- First, find the production rate per machine by dividing the total batteries produced by the number of machines: 5400 batteries / 15 machines = 360 batteries per machine.
- Then multiply this by 5 machines: 360 batteries per machine * 5 machines = 1800 batteries.
Therefore, 5 machines will produce 1800 batteries in 14 hours.