Algebra Homework – Trip Time

Question 10 and the questions in the pictures.

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9:37 AM
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10. Trip Time You are in a boat 2 miles from the nearest
point on the coast (see figure). You plan to travel to
point Q, 3 miles down the coast and 1 mile inland. You
row at 2 miles per hour and walk at 4 miles per hour.
2 mi
3 – x
1 mi
3 mi -ig
Not drawn to scale
(a) Write the total time T (in hours) of the trip as a
function of the distance x (in miles).
(b) Determine the domain of the function.
(c) Use a graphing utility to graph the function. Be sure
to choose an appropriate viewing window.
(d) Find the value of x that minimizes T.
(e) Write a brief paragraph interpreting these values.
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819 الان
9:39 AM
cricket
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Problem 10
o The total time T (in hours) of the
trip as a function of the distance x
(in miles). Make sure you show all
your work to come up with this
equation, and explain each step
and what it represents.
o The domain of the function.
Explain why this domain makes
sense, and show work as needed.
o Graph the function using the
graphing utility on Desmos.com.
Take a screenshot and make sure
it is included in your document.
The graph should be focused over
the domain of the function.
o Find the value of x that minimizes
T. Desmos.com will note this
ordered pair for you automatically.
If it does not, then you can click
various points of the graph and it
will display the ordered pair.
o What does the ordered pair of the
minimum for T represent in our
situation? I.E. what does the value
of x tell us, and what does the
value of I tell us? Write a brief
cricket
% 19:39 AM
o What does the ordered pair of the
minimum for T represent in our
situation? I.E. what does the value
of x tell us, and what does the
value of T tell us? Write a brief
paragraph interpreting these
values.
Reflection on the project as a
whole
o Process for each problem
§ Did your idea for solving this
work?
§ Did you have to get help or try
different methods?
§ Was this problem easy? Hard?
Š Share anything else you have to
say about the problems
o Working with a partner
& Were you and your partner able
to communicate well?
§ What technology did you use to
meet and communicate?
& How did you split up work? Did
that work well?
§ Share anything else you have to
say
o Your successes and failures