Concept explainers
Of the given three animals, we are required to find out that which animal has:
(i)fastest rate of change of growth
(ii)slowest rate of change of growth
(iii)graphically, find out rates of change
Answer to Problem 39PPE
rate of change is
maximum for horse
minimum for mouse
Explanation of Solution
Given information
A graph depicting average growth rates for three different animals.
The given graph is
By the graph only, we can easily find out that,
Horse has highest growth rate whereas, mouse has slowest.
By coming to graphical approach, we can find out the same by the help of calculating slope.
Formula Used We know, Slope =
Calculation
(i)for mouse
Slope =
Change in y is very negligible as compared to x .
(ii)for seal
at, day 0, weight is approximately 15 kgs.
and it shows a movement, in x -axis as well as y -axis.
So, after some days, we can definitely put,
Slope =
So, slope is present and rate can be observed.
(iii)for horse
at, day 0, weight = 30 kg
and at, day 40, as compared to seal, horse gained weight much more.
We see, a heavy change in x -axis as well as y -axis.
So, the slope has maximum value for horse.
Conclusion
(i)Slopes
least → mouse
maximum → horse
(ii)So, rate of change is
maximum → horse
minimum → mouse
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
Elementary Algebra
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
College Algebra (5th Edition)
Algebra and Trigonometry (6th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education