Concept explainers
Find the distance it will raise in 5 minutes.
Answer to Problem 57PPS
After 5 minutes it will rise 193.75 ft.
Explanation of Solution
Given:
One minute after it is released, a gas − filled has risen 100 feet. In each succeeding minute, the balloon rises only 50% as far it rose in the previous minute. How far will it rise in 5 minutes?
Concept Used:
Let the height be h
Initial height:
New height is previous height + rise amount (half of the previous rise amount):
In summation form for t minutes:
The general summation rule for GP series:
So, for our summation, we need the first
Calculation:
In summation form for t minutes:
The first term
Thus, after 5 minutes it will rise 193.75 ft.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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