Concept explainers
(a)
To calculate:To write equation of a line that represents the data in the below table and explain the slope.
Time (s) | Distance(ft) |
(a)
Answer to Problem 13CYU
The equation of the line that passes through the below table is
Time (s) | Distance(ft) |
And the slope represents the speed of the rip current which is
Explanation of Solution
Given information:
Table −
Time (s) | Distance(ft) |
Formula Used:
The slope-intercept form of the equation of a line is
In case of two points given
Calculation:
Table −
Time (s) | Distance(ft) |
So, thePoints -
Using the above explanation, we have slope of the line as −
Substituting the two values, we have:
Solving the above equation, we have:
Using the above explanation, we have equation of the line as −
Substituting the value of one of the points
Solving the above equation, we have :
Thus, the equation of the line is
Solving further, we have :
Thus, the equation of the line is
And the slope represents the speed of the rip current which is
(b)
To calculate: To calculate the rip current in
Time (s) | Distance(ft) |
(b)
Answer to Problem 13CYU
The rip current travels
Explanation of Solution
Given information:
Table −
Time (s) | Distance(ft) |
Formula Used:
The slope-intercept form of the equation of a line is
In case of two points given
And
Calculation:
Table −
Time (s) | Distance(ft) |
So, the Points -
Using the above explanation, we have slope of the line as −
Substituting the two values, we have:
Solving the above equation, we have:
Using the above explanation, we have equation of the line as −
Substituting the value of one of the points
Solving the above equation, we have :
Thus, the equation of the line is
Solving further, we have :
Thus, the equation of the line is
For the distance calculation, which is
Solving the above equation, we have −
Thus, the rip current travels
Chapter 8 Solutions
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