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

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:

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

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.