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

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

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

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

3/100 meter

Answer 1

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

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

Now, we can calculate the change in height:

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

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

\[
\frac{1}{20} = \frac{5}{100} \quad (\text{Multiply both numerator and denominator by 5})
\]
\[
\frac{1}{50} = \frac{2}{100} \quad (\text{Multiply both numerator and denominator by 2})
\]

Now we can perform the subtraction:

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

Thus, the change in height is

\[
\frac{3}{100} \text{ meter.}
\]

So the correct answer is \( \frac{3}{100} \) meter.