Concept explainers
a.
To calculate: Constant rate of change for the given linear function. Also, interpret its meaning.
a.
Answer to Problem 24IP
Constant rate of change for the given linear function is
Explanation of Solution
Given information:
The following graph:
Calculation:
Choose any two points from the line such as
The time changes from
Find the unit rate to determine the constant rate of change.
The distance decreases by
b.
To calculate: Slope of the line
b.
Answer to Problem 24IP
Slope of the line is
Explanation of Solution
Given information:
The following graph:
Formula used:
Slope is given by the formula,
where
Calculation:
Take any two points from the line such as
Slope is calculated as follows:
c.
To compare: Slope of line and rate of change.
c.
Answer to Problem 24IP
Slope of line and rate of change are equal.
Explanation of Solution
Given information:
The following graph:
The rate of change obtained in part (a) is
d.
To calculate: Time taken to drive from St. Louis to Chicago.
d.
Answer to Problem 24IP
Time taken to drive from St. Louis to Chicago is
Explanation of Solution
Given information:
The following graph:
Calculation:
To find the time taken to drive from St. Louis to Chicago, use the rate of change.
According to the graph,
Distance between St. Louis and Chicago =
Rate of change =
Time taken to drive from St. Louis to Chicago is calculated as follows:
Chapter 9 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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