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Concept explainers
a.
To complete: the table below that shows the altitude every
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information: A hot air balloon is at an altitude of
Time (minutes) | -15x + 600 | Altitude (feet) |
0 | 15(0)+600 | 600 |
5 | ||
10 | ||
15 |
Calculation:
Completed table is shown below.
Time (minutes) | -15x + 600 | Altitude (feet) |
0 | -15(0) + 600 | 600 |
5 | -15(5) + 600 | 525 |
10 | -15(10) + 600 | 450 |
15 | -15(15) + 600 | 375 |
b.
To state: what does 0 minutes represent.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 41HP
The 0 minutes represents the time balloon began descending.
Explanation of Solution
Given information: A hot air balloon is at an altitude of
Time (minutes) | -15x + 600 | Altitude (feet) |
0 | -15(0) + 600 | 600 |
5 | -15(5) + 600 | 525 |
10 | -15(10) + 600 | 450 |
15 | -15(15) + 600 | 375 |
Calculation:
From the table, the 0 minutes represents the time balloon began descending.
c.
To graph: the ordered pairs.
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information: A hot air balloon is at an altitude of
Time (minutes) | -15x + 600 | Altitude (feet) |
0 | -15(0) + 600 | 600 |
5 | -15(5) + 600 | 525 |
10 | -15(10) + 600 | 450 |
15 | -15(15) + 600 | 375 |
Calculation:
The graph of the ordered pairs shown below.
d.
To find: the time it will take for the balloon to reach the ground.
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 41HP
After 40 minutes the balloon will be at ground.
Explanation of Solution
Given information: A hot air balloon is at an altitude of
Time (minutes) | -15x + 600 | Altitude (feet) |
0 | -15(0) + 600 | 600 |
5 | -15(5) + 600 | 525 |
10 | -15(10) + 600 | 450 |
15 | -15(15) + 600 | 375 |
Calculation:
So, the function of an altitude of the balloon is:
At the ground y =0;
Therefore, after 40 minutes the balloon will be at ground.
Chapter 2 Solutions
Glencoe Math Accelerated, Student Edition
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