Concept explainers
(a)
A table that shows the height of the hot air balloon after climbing 1,2,3 and 4 minutes
(a)
Answer to Problem 16STP
Thus, the height is 75,90,105,120.
Explanation of Solution
Given:
A hot air balloon was at a height of 60 feet above the ground when it began to ascend and balloon climed at a rate of 15 feet per minute.
Calculation:
To find the table we use follow formula and simplify further as shown below:
TIME | HEIGHT |
1 | 75 |
2 | 90 |
3 | 105 |
4 | 120 |
Thus, the height is 75,90,105,120.
(b)
The algebraic equation.
(b)
Answer to Problem 16STP
Explanation of Solution
Given:
The t represent the time in minutes since the balloon began climbing.
Calculation:
In order to find the algebraic equation for a sequence that can be used to find the height h , of the balloon after t minutes as shown below:
Thus, the algebraic equation is
(c)
The height in feet of the air balloon after climbing for 8 minutes..
(c)
Answer to Problem 16STP
Explanation of Solution
Given:
Calculation:
In order to find the height in feet as shown below:
Thus, the height of the hot balloon after climbing for 8 minutes is
Chapter 3 Solutions
Algebra 1
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