Concept explainers
To compare:the rates of change for the balloons from 3 to 5 seconds.
Answer to Problem 4CYU
The speed of balloon 1 is more than the speed of balloon 2.
Explanation of Solution
Given:
Calculation:
Consider the table that shows relationship between time and altitude of:
Time (s) [x] | Altitude (ft) [y] |
Balloon 1 Balloon 2 | |
3 | 22.7 30.4 |
4 | 30.9 36.0 |
5 | 39.1 41.6 |
The rate of change is change in one quality with respect to another quantity.
Mathematically,
Thus, the rate of change is change in altitude with respect to change in time.
So, the rate of change for the balloon 1 is :
So, the rate of change for the balloon 2 is :
It means that the speed of balloon 1 is more than the speed of balloon 2.
Conclusion:
Therefore, rate of change for balloon 1 is increase of 8.2 ft/s and balloon 2 is increase of 5.6 ft/s.
It means that the speed of balloon 1 is more than the speed of balloon 2.
Chapter 8 Solutions
Pre-Algebra, Student Edition
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