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

120 meter
Start Fraction 1 over 20 End Fraction meter

7100 meter
Start Fraction 7 over 100 End Fraction meter

3100 meter
Start Fraction 3 over 100 End Fraction meter

150 meter

Answer 1

To find the change in height of the parasail, we need to calculate the difference between the starting height and the ending height.

1. Initial height = \( \frac{1}{20} \) meter
2. Final height = \( \frac{1}{50} \) meter

We can convert both fractions to a common denominator to make the subtraction easier. The least common multiple of 20 and 50 is 100.

Now, let's convert both fractions:

\[
\frac{1}{20} = \frac{5}{100}
\]

\[
\frac{1}{50} = \frac{2}{100}
\]

Now we can calculate the change in height:

\[
\text{Change in height} = \text{Initial height} - \text{Final height}
\]

\[
\text{Change in height} = \frac{5}{100} - \frac{2}{100} = \frac{3}{100}
\]

Thus, the change in height is \( \frac{3}{100} \) meter.

The correct response is:

\( \frac{3}{100} \) meter.