Question

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

3/100 meter
Start Fraction 3 over 100 End Fraction meter

1/50 meter
Start Fraction 1 over 50 End Fraction meter

1/20 meter
Start Fraction 1 over 20 End Fraction meter

7/100 meter
Start Fraction 7 over 100 End Fraction meter

Answer 1

To find the change in height of the parasail, we need to compute the difference between the initial height and the final height.

1. The initial height is \( \frac{1}{20} \) meters.
2. The final height is \( \frac{1}{50} \) meters.

We need to find the change in height:

\[
\text{Change in height} = \text{Final height} - \text{Initial height}
\]
\[
\text{Change in height} = \frac{1}{50} - \frac{1}{20}
\]

To subtract these fractions, we need a common denominator. The least common multiple of 50 and 20 is 100.

Now, convert each fraction:

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

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

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

This indicates that the height decreased by \( \frac{3}{100} \) meters.

The following response corresponds to the decrease:
- None of the options provided explicitly indicate a negative change, but the decrease is understood.
Thus, the answer should be:

**3/100 meter** (indicating the height changed by this amount, although it represents a decrease).