Constant Speed Quick Check
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Question
Volunteers put together 40 school-supply kits in 8 minutes. At this rate, how many could they put together in 30 minutes? Solve this problem using a unit rate. (1 point)
Responses
150 school-supply kits
150 school-supply kits
6 school-supply kits
6 school-supply kits
9,600 school-supply kits
9,600 school-supply kits
10.67 school-supply kits
To solve this problem using a unit rate, we can divide the number of school-supply kits by the time it takes to assemble them.
The unit rate is 40 kits / 8 minutes = 5 kits/minute.
To find out how many kits can be put together in 30 minutes, we multiply the unit rate by the number of minutes:
5 kits/minute * 30 minutes = 150 school-supply kits.
Therefore, the correct answer is 150 school-supply kits.
To solve this problem using a unit rate, we can set up a proportion.
The given information tells us that volunteers put together 40 school-supply kits in 8 minutes. This means that the rate at which they put together the kits is 40 kits per 8 minutes.
To find how many kits they could put together in 30 minutes, we set up the proportion:
40 kits / 8 minutes = x kits / 30 minutes
By cross-multiplying, we have:
8x = 40 * 30
Simplifying, we get:
8x = 1200
Dividing both sides by 8, we find:
x = 150
Therefore, volunteers could put together 150 school-supply kits in 30 minutes.
To solve this problem using a unit rate, we need to find how many school-supply kits can be put together in 1 minute.
Given that 40 kits are completed in 8 minutes, we can calculate the rate by dividing the total number of kits by the total time:
Rate = Total kits / Total time
Rate = 40 kits / 8 minutes
Rate = 5 kits per minute
Now that we know the rate is 5 kits per minute, we can find how many kits can be put together in 30 minutes by multiplying the rate by the time:
Kits in 30 minutes = Rate x Time
Kits in 30 minutes = 5 kits/minute x 30 minutes
Kits in 30 minutes = 150 kits
So, volunteers can put together 150 school-supply kits in 30 minutes.