SOLUTION: a. what is a graph that displays Davids traveling time vs. distance. Jane and David are preparing for their annual trip to Yosemite. After careful analysis of route options, an

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Question 1122134: a. what is a graph that displays Davids traveling time vs. distance.
Jane and David are preparing for their annual trip to Yosemite. After careful analysis of route options, and based on traffic patterns, David determines the following:
while driving at a constant pace, they will travel 40 miles in the first hour, 255 miles in the next 3 hours, and 120 miles in the next 2 hours.



b. what is a piecewise function representing Jane and Davids traveling time and distance?
c. What is the domain and what does it mean in the context of this situation?
d. What is the range and what does it mean in the context of this situation?
e. What assumptions (if any) are being made in the context of this situation? Are they realistic?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!



       =  40t               if 0 < t <= 1
d(t)   =  40 + 85(t - 1)    if 1 < t <= 4
       = 295 + 60(t - 4)    if 4 < t <= 6


Domain:

Range:

The range is the set of possible values for the distance function given the zero to six-hour domain. The upper limit of the range is the total distance traveled.

The one glaringly idiotic assumption is that he thinks he is going to go 85 miles per hour for 3 hours on a California Interstate Highway without having to, at best, wait 20 minutes while the CHP writes him a citation, or at worst having to spend the night in a local jail cell. Maybe he is an entitled millennial and thinks that speed limits are damaging to his self-esteem.


John

My calculator said it, I believe it, that settles it


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