A parasail is 1/20 of a kilometer above the water. Then, after 10 minutes, the parasail is 1/50 of a kilometer above the water. What is the difference in height?(1 point)

Responses

7/100 kilometers
Start Fraction 7 over 100 End Fraction kilometers

1/50 kilometers
Start Fraction 1 over 50 End Fraction kilometers

1/20 kilometers
Start Fraction 1 over 20 End Fraction kilometers

3/100 kilometers
Start Fraction 3 over 100 End Fraction kilometers
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1 answer

To find the difference in height between the two positions of the parasail, we need to subtract the two heights.

The initial height of the parasail is \( \frac{1}{20} \) kilometers.
The height after 10 minutes is \( \frac{1}{50} \) kilometers.

  1. First, we need a common denominator to perform the subtraction. The least common multiple (LCM) of 20 and 50 is 100.

  2. Convert \( \frac{1}{20} \) to a fraction with a denominator of 100: \[ \frac{1}{20} = \frac{5}{100} \]

  3. Convert \( \frac{1}{50} \) to a fraction with a denominator of 100: \[ \frac{1}{50} = \frac{2}{100} \]

  4. Now subtract the two fractions: \[ \frac{5}{100} - \frac{2}{100} = \frac{5 - 2}{100} = \frac{3}{100} \]

So, the difference in height is \( \frac{3}{100} \) kilometers.

The correct response is: 3/100 kilometers
Start Fraction 3 over 100 End Fraction kilometers