Answer :
To solve the problem, let's break it down step by step.
1. Initial Position: The helium balloon starts at a height of 0 feet.
2. Balloon Rises: The balloon ascends 97 1/2 feet, which can be expressed as 97.5 feet. So, starting from 0 feet and rising 97.5 feet, the balloon reaches a height of:
[tex]\[
0 + 97.5 = 97.5 \text{ feet}
\][/tex]
3. Balloon Descends: After reaching 97.5 feet, the balloon then descends 97 1/2 feet, which is also 97.5 feet. So, from the height of 97.5 feet, it descends back to:
[tex]\[
97.5 - 97.5 = 0 \text{ feet}
\][/tex]
4. Final Height: After these movements, the final height of the balloon is 0 feet.
Given the calculations, the balloon's final height is 0 feet. Thus, the correct answer is:
A. 0 feet
1. Initial Position: The helium balloon starts at a height of 0 feet.
2. Balloon Rises: The balloon ascends 97 1/2 feet, which can be expressed as 97.5 feet. So, starting from 0 feet and rising 97.5 feet, the balloon reaches a height of:
[tex]\[
0 + 97.5 = 97.5 \text{ feet}
\][/tex]
3. Balloon Descends: After reaching 97.5 feet, the balloon then descends 97 1/2 feet, which is also 97.5 feet. So, from the height of 97.5 feet, it descends back to:
[tex]\[
97.5 - 97.5 = 0 \text{ feet}
\][/tex]
4. Final Height: After these movements, the final height of the balloon is 0 feet.
Given the calculations, the balloon's final height is 0 feet. Thus, the correct answer is:
A. 0 feet