A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
$\frac{1}{5}$ minute
$\frac{5 \text { boards }}{1 \text { minute }}$
$\frac{25 \text { boards }}{5 \text { minutes }}$
$\frac{5 \text { minutes }}{25}$ boards
Answer (2)
Divide the total number of boards produced by the total number of minutes to find the unit rate.
Calculate: 5 minutes 25 boards .
Simplify the fraction to get the unit rate in boards per minute.
The unit rate of production is 1 minute 5 boards .
Explanation
Understanding the Problem We are given that a machine cuts 25 circuit boards every 5 minutes. We need to find the unit rate of production, which is the number of boards produced per minute.
Calculating the Unit Rate To find the unit rate, we divide the total number of boards produced by the total number of minutes. In this case, we have 25 boards produced in 5 minutes. So, the unit rate is: 5 minutes 25 boards .
Simplifying the Fraction Now, we simplify the fraction: 5 minutes 25 boards = 5 minute boards .
Final Answer Therefore, the unit rate of production for the machine is 5 boards per minute.
Examples
Understanding unit rates is crucial in many real-world scenarios. For instance, if you're baking cookies and a recipe says you can make 30 cookies in 2 batches, knowing the unit rate (15 cookies per batch) helps you scale the recipe. Similarly, if you're tracking how many pages of a book you read per hour, calculating the unit rate allows you to estimate how long it will take to finish the book. These concepts are also fundamental in business, where understanding production rates, sales per employee, or cost per item are essential for making informed decisions.
The unit rate of production for the machine is 5 boards per minute, calculated by dividing 25 boards by 5 minutes. The answer can be expressed as 1 minute 5 boards .
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