Rational Functions and Time Passed During a Trip
You will be driving from Central Texas College in Killeen to a town in Texas and looking at the effect of driving the distance at different speeds.
Choose any city/town in Texas that is at least 50 miles from Central Texas College in Killeen, TX, by road. Go to Google Maps (https://maps.google.com) and find directions from CTC to the city/town of your choice. Take a screenshot of the directions like you did for Lab 1, which you will upload in Blackboard when you turn in the lab there. Note the distance of the trip in miles:
Distance One Way: _________________60______ miles
You drive from CTC in Killeen to your town of choice. After 3 hours, you receive a phone call and immediately return to CTC in Killeen. Calculate the total time for the trip for the different speeds (not necessarily realistic, legal, or even safe speeds). Remember the equation . We
can rearrange the equation to make and that you are going round-trip. What effect does spending 3 hours there have on the total time?
Write an equation for the total time of the trip as a function of the speed
Graph your function in an appropriate window. What values of the context of this problem?
Domain: Range: Where is the function increasing, decreasing, constant? Increasing: Decreasing:
(speed) and (time) make sense in
_____ Constant:
As your speed gets faster, the total time approaches _____________________ because _________________________________________________________________________.
As your speed gets closer and closer to 0 mph, your total time approaches ______________________ because _________________________________________________________________________.
You will be driving from Central Texas College in Killeen to a town in Texas and looking at the effect of driving the distance at different speeds.
Choose any city/town in Texas that is at least 50 miles from Central Texas College in Killeen, TX, by road. Go to Google Maps (https://maps.google.com) and find directions from CTC to the city/town of your choice. Take a screenshot of the directions like you did for Lab 1, which you will upload in Blackboard when you turn in the lab there. Note the distance of the trip in miles:
Distance One Way: _________________60______ miles
You drive from CTC in Killeen to your town of choice. After 3 hours, you receive a phone call and immediately return to CTC in Killeen. Calculate the total time for the trip for the different speeds (not necessarily realistic, legal, or even safe speeds). Remember the equation . We
can rearrange the equation to make and that you are going round-trip. What effect does spending 3 hours there have on the total time?
Write an equation for the total time of the trip as a function of the speed
| Speed | 0.5 mph | 1 mph | 2 mph | 10 mph | 20 mph | 40 mph | 80 mph | 160 mph |
| Total Time (hours) |
Graph your function in an appropriate window. What values of the context of this problem?
Domain: Range: Where is the function increasing, decreasing, constant? Increasing: Decreasing:
(speed) and (time) make sense in
_____ Constant:
As your speed gets faster, the total time approaches _____________________ because _________________________________________________________________________.
As your speed gets closer and closer to 0 mph, your total time approaches ______________________ because _________________________________________________________________________.
