Concept explainers
a.
To complete: the table below that shows the altitude every
a.
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.
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.
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.
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
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning