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A hot air balloon leaves the ground and rises to an elevation of 1,100 feet. During the next 30 minutes, it descends 500 feet, rises 950 feet, descends 375 feet, and finally passes over a school. What is the elevation of the balloon when it passes over the school?

A.
1,025 feet

B.
1,100 feet

C.
1,175 feet

D.
1,550 feet

1 answer

To determine the elevation of the hot air balloon when it passes over the school, we will calculate the changes in elevation step by step starting from its initial elevation of 1,100 feet.

  1. Initial elevation: 1,100 feet
  2. Descends 500 feet: \[ 1,100 - 500 = 600 \text{ feet} \]
  3. Rises 950 feet: \[ 600 + 950 = 1,550 \text{ feet} \]
  4. Descends 375 feet: \[ 1,550 - 375 = 1,175 \text{ feet} \]

Thus, the elevation of the balloon when it passes over the school is 1,175 feet.

Therefore, the answer is C. 1,175 feet.