Concept explainers
a.
To find:
The slope of the line.
a.
Answer to Problem 17E
The slope of the line would be 27.
Explanation of Solution
Given:
The graph shows distance run by a Cheetah as a function of time.
Concept used:
Calculation:
We can see that points
Therefore, the slope of the line would be27.
b.
What information about the cheetah can you obtain from the slope?
b.
Answer to Problem 17E
Cheetah runs 27 meters per second.
Explanation of Solution
Given:
The graph shows distance run by a Cheetah as a function of time.
Calculation:
We got in part (a) that the slope of the line is 27. The y -axis represents distance run by cheetah in meters and x -axis represents time in seconds.
So slope represents change in distance run by cheetah with change in time.
Therefore, the slope represents that speed of cheetah is 27 meters per second.
c.
Suppose you made a graph showing the distance run by a gazelle as a function of time. How would the graph for the gazelle compare with the graph of cheetah? Explain your thinking.
c.
Answer to Problem 17E
The graph for the gazelle will be less steeper than graph for the cheetah.
Explanation of Solution
Given:
A gazelle’s top speed is about 22 meters per second.
Calculation:
We know that speed of cheetah is 27 meters per second.
Since gazelle’s top speed is about 22 meters per second, so slope for the gazelle’s graph is less than slope for cheetah’s graph.
Therefore, the graph for the gazelle will be less steeper than graph for the cheetah.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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