
Concept explainers
a.
To find: Express the total time taken is
The total time is
Given:
The rate of car is
Formula used:
Rate can be calculated by using the formula
Calculation:
Let the rate of bike be
Substitute
From the above equation the time taken by bike will be
Substitute
From the above equation the time taken by car will be
The total time taken will be time taken by car and time taken by bike together.
Conclusion:
The total time is
b.
To find: The rate of bike both algebraically and graphically.
The rate of bike both algebraically and graphically is
Given:
The total time taken is
Formula used:
The quadratic formula is
Calculation:
Convert the time
Substitute
Solve the equation further for the equation in terms of
Compare the above equation with the standard equation
The value of
Solve further for the value of
Since the rate cannot be negative.
Therefore,
Conclusion:
The rate of bike is
Chapter 2 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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