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

7100 kilometers
Start Fraction 7 over 100 End Fraction kilometers

150 kilometers
Start Fraction 1 over 50 End Fraction kilometers

120 kilometers
Start Fraction 1 over 20 End Fraction kilometers

3100 kilometers
Start Fraction 3 over 100 End Fraction kilometers

Answer 1

To find the difference in height between the two heights of the parasail, we start with the given heights:

1. First height: \( \frac{1}{20} \) kilometers
2. Second height: \( \frac{1}{50} \) kilometers

To find the difference, we subtract the second height from the first height:

\[
\frac{1}{20} - \frac{1}{50}
\]

To perform this subtraction, we need a common denominator. The least common multiple of 20 and 50 is 100. We convert each fraction:

\[
\frac{1}{20} = \frac{5}{100} \quad \text{(because } 1 \times 5 = 5 \text{ and } 20 \times 5 = 100\text{)}
\]
\[
\frac{1}{50} = \frac{2}{100} \quad \text{(because } 1 \times 2 = 2 \text{ and } 50 \times 2 = 100\text{)}
\]

Now we can subtract:

\[
\frac{5}{100} - \frac{2}{100} = \frac{5 - 2}{100} = \frac{3}{100}
\]

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

Looking at your options, the correct response is:

**Start Fraction 3 over 100 End Fraction kilometers**.