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)

Question

Responses

7100 meter
Start Fraction 7 over 100 End Fraction meter

3100 meter
Start Fraction 3 over 100 End Fraction meter

150 meter
Start Fraction 1 over 50 End Fraction meter

120 meter

Answer 1

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

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

Let's convert both fractions to have a common denominator in order to perform the subtraction:

The least common multiple of 20 and 50 is 100.

• Convert \( \frac{1}{20} \) to a fraction with a denominator of 100: \[ \frac{1}{20} = \frac{5}{100} \]

• Convert \( \frac{1}{50} \) to a fraction with a denominator of 100: \[ \frac{1}{50} = \frac{2}{100} \]

Now we can subtract the final height from the initial height: \[ \text{Change in height} = \frac{5}{100} - \frac{2}{100} = \frac{3}{100} \]

Therefore, the change in height is: \[ \frac{3}{100} \text{ meters} \]

From the responses given, the correct answer is: Start Fraction 3 over 100 End Fraction meter.