Concept explainers
a.
To find: equation of height of balloon related to time and position of balloon after 1,2,3,4 minutes under given condition.
a.
Answer to Problem 13CR
When t =1, then, h =75 feet
t =2, then, h =90 feet
t =3, then, h =104 feet
t =4, then, h =120 feet
Explanation of Solution
Given information: A balloon started ascending when it is at the height of 60 feet and its height increases by 15 feet after every minute.
Since a balloon started ascending when it is at the height of 60 feet and its height increases by 15 feet after every minute.
Then its equation is given by,
In order to find position of balloon at t=1, 2, 3, 4 minute we have to put these values in above equation
When t =1, then, h =75 feet
t =2, then, h =90 feet
t =3, then, h =104 feet
t =4, then, h =120 feet
b.
To write: an algebraicequation for the sequence that can be used to find height, h, of the balloon after t minutes.
b.
Answer to Problem 13CR
Explanation of Solution
Given information: A balloon started ascending when it is at the height of 60 feet and its height increases by 15 feet after every minute.
The equation that best describe the above given information is
c.
To find: the height of the hot air balloon after climbing for 8 minutes.
c.
Answer to Problem 13CR
180 feet
Explanation of Solution
Given information: an equation is given as follows- .
In order to find the height of balloon after climbing for 8 minutes.
Put
d.
To write: which mathematical practice have I used to solve above problem.
d.
Explanation of Solution
Given information: A balloon started ascending when it is at the height of 60 feet and its height increases by 15 feet after every minute.
In order to solve above problem we have used height as a function of time and write a linear equation according to the given information.
- The required equation is, h =60+ 15t
- Putting t =8 in the above equation we get, h=60+120=180 feet.
- In order to solve above problem we have used height as a function of time.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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