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
9,600 school-supply kits
9,600 school-supply kits
150 school-supply kits
150 school-supply kits
6 school-supply kits
6 school-supply kits
10.67 school-supply kits
To solve this problem using a unit rate, we need to find the number of kits put together per minute.
In 8 minutes, they put together 40 kits.
So, in 1 minute, they put together 40/8 = 5 kits.
Therefore, in 30 minutes, they would put together 5 x 30 = 150 kits.
So the correct answer is:
150 school-supply kits.
Brian can read 80 pages in 2 hours. How many pages can he read in 3.5 hours? (1 point)
Responses
11.43 pages
11.43 pages
140 pages
140 pages
560 pages
560 pages
45.71 pages
To solve this problem, we need to find the number of pages Brian can read per hour.
In 2 hours, he can read 80 pages.
So, in 1 hour, he can read 80/2 = 40 pages.
Therefore, in 3.5 hours, he would read 40 x 3.5 = 140 pages.
So the correct answer is:
140 pages.
In 10 seconds, the surface of the earth at the equator has moved 4,600 meters. How far has the surface moved in 150 seconds?(1 point)
Responses
69,000 meters
69,000 meters
6,900,000 meters
6,900,000 meters
3.07 meters
3.07 meters
306.67 meters
To find how far the surface of the earth has moved in 150 seconds, we need to find the unit rate of movement.
In 10 seconds, the surface has moved 4,600 meters.
So, in 1 second, the surface moves 4600/10 = 460 meters.
Therefore, in 150 seconds, the surface of the earth would move 460 x 150 = 69,000 meters.
So the correct answer is:
69,000 meters.
Grace ran a 26-mile marathon in 4 hours. How far did Grace run in 1.5 hours?(1 point)
Responses
69.33 miles
69.33 miles
156 miles
156 miles
9.75 miles
9.75 miles
4.33 miles
To find how far Grace ran in 1.5 hours, we need to find the unit rate of distance.
In 4 hours, Grace ran 26 miles.
So, in 1 hour, Grace ran 26/4 = 6.5 miles.
Therefore, in 1.5 hours, Grace would run 6.5 x 1.5 = 9.75 miles.
So the correct answer is:
9.75 miles.
In 5 hours the Acela Express, the fastest train in North America, traveled 775 miles. How far did it travel in 8 hours?(1 point)
Responses
31,000 miles
31,000 miles
484.375 miles
484.375 miles
19.375 miles
19.375 miles
1,240 miles
To find how far the Acela Express traveled in 8 hours, we need to find the unit rate of distance.
In 5 hours, the Acela Express traveled 775 miles.
So, in 1 hour, the Acela Express traveled 775/5 = 155 miles.
Therefore, in 8 hours, the Acela Express would travel 155 x 8 = 1,240 miles.
So the correct answer is:
1,240 miles.
To solve this problem using a unit rate, we need to find the number of school-supply kits that can be put together in 1 minute. We can do this by dividing the total number of kits (40) by the total time (8 minutes).
The unit rate would be: 40 kits / 8 minutes = 5 kits/minute.
Now, to find the number of kits that can be put together in 30 minutes, we multiply the unit rate by the given time:
5 kits/minute * 30 minutes = 150 kits.
So, the volunteers can put together 150 school-supply kits in 30 minutes. Therefore, the correct answer is 150 school-supply kits.