To find the change in height of the parasail, we need to subtract the initial height from the final height.
Initial height = \( \frac{1}{20} \) meter (which is 120 in decimal) Final height = \( \frac{3}{20} \) meter (which is 150 in decimal)
Calculating the change in height:
\[ \text{Change in height} = \text{Final height} - \text{Initial height} \] \[ \text{Change in height} = \frac{3}{20} - \frac{1}{20} = \frac{2}{20} = \frac{1}{10} \text{ meter} \]
Now let's convert \(\frac{1}{10}\) meter into a hundredths fraction:
\(\frac{1}{10} = \frac{10}{100}\)
None of the responses appear to match this particular calculation's outcome directly. However, assuming possible misinterpretation of the original heights; let me calculate again.
Initial height: 1 meter = \( \frac{120}{1000} \) Final height: 1 meter = \( \frac{150}{1000} \) Change = \[ \frac{150}{1000} - \frac{120}{1000} = \frac{30}{1000} = \frac{3}{100} \]
The correct change in height is \( \frac{3}{100} \) meter.
Thus, the best-matching response is:
\( \frac{3}{100} \) meter.