Solve Unit Rate Problems Quick Check%0D%0A1 of 51 of 5 Items%0D%0A%0D%0AQuestion%0D%0AAn oil spill covers 4 square kilometers in 14 of an hour. At this rate, how many square kilometers will it cover in 2 hours?(1 point)%0D%0AResponses%0D%0A%0D%0A16 square kilometers%0D%0A16 square kilometers%0D%0A%0D%0A32 square kilometers %0D%0A32 square kilometers %0D%0A%0D%0A2 square kilometers%0D%0A2 square kilometers%0D%0A%0D%0A8 square kilometers
To solve this problem, we need to find the unit rate, which is the amount of square kilometers covered per hour.
The oil spill covers 4 square kilometers in 1/4 of an hour, which means it covers 16 square kilometers in 1 hour (since 1/4 of an hour is the same as 1 hour divided by 1/4).
So, at this rate, the oil spill will cover 16 square kilometers in 1 hour.
Since we want to find out how many square kilometers it will cover in 2 hours, we multiply the unit rate by 2:
16 square kilometers * 2 = 32 square kilometers
Therefore, the correct response is:
32 square kilometers
To solve this unit rate problem, we need to determine the rate at which the oil spill covers the area and then use that rate to calculate how much it will cover in 2 hours.
The given information tells us that the oil spill covers 4 square kilometers in 1/4 of an hour, which can also be written as 0.25 hours. This means that the rate at which it covers the area is 4/0.25 = 16 square kilometers per hour.
Now, we can use this rate to calculate how much the oil spill will cover in 2 hours by multiplying the rate by the number of hours:
16 square kilometers per hour * 2 hours = 32 square kilometers.
Therefore, the correct answer is 32 square kilometers.
To solve this unit rate problem, we need to determine the rate at which the oil spill covers square kilometers per hour.
Given: The oil spill covers 4 square kilometers in 1/4 of an hour.
To get the rate, we can divide the number of square kilometers (4) by the fraction of an hour (1/4):
Rate = 4 square kilometers / (1/4) hour
= 4 / (1/4)
= 4 * 4/1
= 16 square kilometers per hour
Therefore, the rate at which the oil spill covers square kilometers is 16 square kilometers per hour.
Now, we need to find how many square kilometers the oil spill will cover in 2 hours.
To do this, we can multiply the rate per hour (16 square kilometers) by the number of hours (2):
Total square kilometers covered = Rate per hour * Number of hours
= 16 square kilometers/hour * 2 hours
= 32 square kilometers
Hence, at this rate, the oil spill will cover 32 square kilometers in 2 hours.