To determine the weight of the bar when its volume is
The weight of the bar will be
Given:
Given that the weight of the bar is
Also, it is given that the weight and the volume of the bar keeps a directly proportional relationship.
Concept Used:
Directly proportional relationship:
Suppose that a variable
Then, the relationship can be modelled mathematically using the equation:
Calculation:
Suppose that
Then,
Find the value of
Since it is given that the weight of the bar is
Substitute
Solve the equation
Thus, it is found that:
Substitute
It is asked to determine the weight of the bar when its volume is
That is, it is asked to find the value of
Substitute
Solve the equation
Thus, it is found that
Thus, the weight of the bar will be
Conclusion:
The weight of the bar will be
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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