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Concept explainers
a.
To find: Height of the hot air balloon after climbing for 1,2,3,4 minutes.
a.
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Answer to Problem 13PFA
Height of balloon for climbing 1,2,3,4 minutes is 75,90,105,120 feet respectively
Explanation of Solution
Given information:
Initial height of hot air balloon = 60 feet
Balloon starts to ascend.
Balloon is climbing at the rate of 15 feet per minute.
From given information
Balloon is climbing at the rate of 15 feet per minute
It means
Multiplying with
We get
Therefore
For
Therefore
Final height after
Let
Substitute
We get
Substitute
We get
Substitute
We get
Substitute
We get
Therefore
Height of balloon for climbing 1,2,3,4 minutes is 75,90,105,120 feet respectively.
b.
To find: Algebraic equation to find height.
b.
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Answer to Problem 13PFA
Algebraic equation to represent height is
Explanation of Solution
Given information:
Initial height of hot air balloon = 60 feet
Balloon starts to ascend.
Balloon is climbing at the rate of 15 feet per minute.
From given information
Balloon is climbing at the rate of 15 feet per minute
It means
Multiplying with
We get
Therefore
For
Therefore
Final height after
Let
Therefore, algebraic equation to represent height is
c.
To find: Height of the air balloon for climbing for 8 minutes.
c.
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Answer to Problem 13PFA
Height of air balloon after climbing for 8 minutes is 180 feet.
Explanation of Solution
Given information:
Initial height of hot air balloon = 60 feet
Balloon starts to ascend.
Balloon is climbing at the rate of 15 feet per minute.
From given information
Balloon is climbing at the rate of 15 feet per minute
It means
Multiplying with
We get
Therefore
For
Therefore
Final height after
Let
Substitute
Height of air balloon after climbing for 8 minutes is 180 feet.
d.
To find:What mathematical practice we used to solve this problem.
d.
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Explanation of Solution
Given information:
Initial height of hot air balloon = 60 feet
Balloon starts to ascend.
Balloon is climbing at the rate of 15 feet per minute.
Using rate of change concept we obtained the dependent variable(height) in terms of independent variable(time).
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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