Question

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

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

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

3/100 kilometers

Answer 1

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

The heights are given as:
- Height 1: \( \frac{1}{20} \) kilometers
- Height 2: \( \frac{1}{50} \) kilometers

First, we need to find a common denominator to subtract these two fractions. The least common multiple (LCM) of 20 and 50 is 100.

Next, we convert each fraction to have a denominator of 100:

1. For \( \frac{1}{20} \):
\[
\frac{1}{20} = \frac{1 \times 5}{20 \times 5} = \frac{5}{100}
\]

2. For \( \frac{1}{50} \):
\[
\frac{1}{50} = \frac{1 \times 2}{50 \times 2} = \frac{2}{100}
\]

Now, we can subtract the two fractions:
\[
\frac{5}{100} - \frac{2}{100} = \frac{5 - 2}{100} = \frac{3}{100}
\]

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

The correct response is:
**3/100 kilometers (Start Fraction 3 over 100 End Fraction kilometers)**.