Concept explainers
To find: can the situation be modeled by a linear equation, explain and write a linear model that represents the amount of water remaining in the tank as a function of time.
Answer to Problem 16Q
Yes, the situation be modeled by a linear equation because the slopes of consecutive points are the same:
Linear model is
Explanation of Solution
Given information: The table shows the amount of water remaining in a water tank as it
drains.
Time(minutes) | 8 | 10 | 12 | 14 | 16 |
Water(gallons) | 155 | 150 | 145 | 140 | 135 |
Formula used:
The equation of the line in the point-slope form is:
Calculation:
Yes, because the slope of consecutive points are the same:
Find the equation of the line in slope-intercept form
Let x be the time (in minutes) and y be the amount of water (in gallons).
Use the
Substitute the slope -2.5 and given point (8,155)
Chapter 4 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education