Question 10 and the questions in the pictures.

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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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9:39 AM

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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

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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