Applications of Subtracting Rational Numbers Quick Check

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Question
A parasail is 120 of a meter above the water. Then, after 10 minutes, the parasail is 150 of a meter above the water. What is the change in height?(1 point)
Responses

1/20 meter

1/50 meter

7/100 meter***

3/100 meter

The correct answer is 7/100 meter.

To find the change in height, you need to subtract the initial height from the final height.

Final height: 150/1 meter
Initial height: 120/1 meter

To subtract the heights, you first need to find a common denominator. The smallest common denominator of 1, 1, and 1 is also 1.

Final height - Initial height = (150/1) - (120/1)

Now subtract the numerators:
150 - 120 = 30

Therefore, the change in height is 30/1 meter. However, since the question asks for the answer in terms of a rational number, the answer is 30/1 = 30/1 * 1/100 = 30/100 = 3/10.

So the correct answer is option C: 3/100 meter.