Question

A parasail is 120 of a kilometer above the water. Then, after 10 minutes, the parasail is 150 of a kilometer above the water. What is the difference in height?(1 point) Responses 150 kilometers Start Fraction 1 over 50 End Fraction kilometers 7100 kilometers Start Fraction 7 over 100 End Fraction kilometers 120 kilometers Start Fraction 1 over 20 End Fraction kilometers 3100 kilometers

Answer 1

To find the difference in height, we need to subtract the initial height from the final height.

The initial height of the parasail is \( \frac{1}{20} \) kilometers (which is equivalent to 120 meters since \( \frac{1}{20} \) of a kilometer is 50 meters, and 120 meters is represented as \( \frac{1}{20} \)).
The final height of the parasail is \( \frac{3}{20} \) kilometers (which is equivalent to 150 meters since \( \frac{3}{20} \) of a kilometer is 150 meters).

Now, we can calculate the difference:

\[
\text{Difference in height} = \text{Final height} - \text{Initial height} = \frac{3}{20} - \frac{1}{20} = \frac{3 - 1}{20} = \frac{2}{20} = \frac{1}{10} \text{ kilometers}
\]

Now, let's look at the provided options to see the corresponding value of the difference in height:

The difference in height we've calculated is \( \frac{1}{10} \) kilometers.

None of the given responses directly match \( \frac{1}{10} \) kilometers. Therefore, it seems the available options might be incorrect in this context.

However, if we were to express a height difference based on relative heights, we could approximate based on the units described. The closest representations hint at \( \frac{3}{50} \) and \( \frac{1}{50} \) in the choices provided, but none are directly \( \frac{1}{10} \).

So the final answer based on the initial calculation is a height difference of \( \frac{1}{10} \) kilometers. You may want to use the numerical value or seek a clarification over the exact response format you're looking for.