Question 5

A)A parasail is 120 of a meter above the water. Then, after 10 minutes, the parasail is 150 of a meter above the water. What is the change in height?(1 point)
Responses

150 meter
Start Fraction 1 over 50 End Fraction meter

7100 meter
Start Fraction 7 over 100 End Fraction meter

3100 meter
Start Fraction 3 over 100 End Fraction meter

120 meter

1 answer

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.