One minute after it is released, a hot-air balloon rises 100 feet. In each succeeding minute, the balloon rises only 50% as far as it rose in the previous minute. How far will the balloon rise in the five minute?

Question

Adyson Joyce

Mathematics

16 April, 23:21

One minute after it is released, a hot-air balloon rises 100 feet. In each succeeding minute, the balloon rises only 50% as far as it rose in the previous minute. How far will the balloon rise in the five minute?

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Georgia Vaughn · Answer 1

1min: 100 ft

2min: 100 (.5) = 50 - --> 100+50 = 150 ft

3min: 50 (.5) = 25 - --> 150+25 = 175 ft

4min: 25 (.5) = 12.5 - --> 175+12.5 = 187.5 ft

5min: 12.5 (.5) = 6.25 - --> 187.5+6.25 = 193.75ft

answer: 193.75 ft