Solve Unit Rate Problems Quick Check
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Question
An 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)
Responses
32 square kilometers
32 square kilometers
8 square kilometers
8 square kilometers
16 square kilometers
16 square kilometers
2 square kilometers
To solve this problem, we can set up a proportion.
Since the oil spill covers 4 square kilometers in 1/4 of an hour, the rate is 4/(1/4) = 4 * 4 = 16 square kilometers per hour.
To find the number of square kilometers the oil spill will cover in 2 hours, we can multiply the rate by the time: 16 * 2 = 32.
Therefore, the oil spill will cover 32 square kilometers in 2 hours.
To solve this unit rate problem, we need to find the rate at which the oil spill covers square kilometers per hour.
The given information states that the oil spill covers 4 square kilometers in 1/4 of an hour. To find the rate, we need to divide the number of square kilometers by the number of hours.
4 square kilometers ÷ 1/4 hour = 16 square kilometers per hour
Therefore, the oil spill will cover 16 square kilometers in 1 hour.
To find out how many square kilometers it will cover in 2 hours, we can multiply the rate by the number of hours.
16 square kilometers per hour × 2 hours = 32 square kilometers
Therefore, the oil spill will cover 32 square kilometers in 2 hours.
To solve this unit rate problem, we need to find the rate at which the oil spill covers square kilometers per hour and then use that rate to determine the number of square kilometers it will cover in 2 hours.
Given information:
- The oil spill covers 4 square kilometers in 1/4 of an hour.
First, let's find the rate at which the oil spill covers square kilometers per hour:
To do this, we need to find how many square kilometers it covers in 1 hour.
Since it covers 4 square kilometers in 1/4 of an hour, we can set up a proportion:
4 square kilometers / (1/4) hour = x square kilometers / 1 hour
To solve for x, we can cross multiply:
4 square kilometers * 1 hour = x square kilometers * (1/4) hour
4 square kilometers * 1 hour = x square kilometers * (1/4) hour
4 = x/4
To isolate x, we multiply both sides by 4:
4 * 4 = x
16 = x
Therefore, the oil spill covers 16 square kilometers per hour.
Now, we can use this rate to determine the number of square kilometers it will cover in 2 hours:
To do this, we multiply the rate (16 square kilometers per hour) by the number of hours (2 hours):
16 square kilometers/hour * 2 hours = 32 square kilometers
So, at this rate, the oil spill will cover 32 square kilometers in 2 hours.
Therefore, the answer to the question is 32 square kilometers.