We Will Be Solving Problems In Real Life By Using The Methods Learned In Week
we will be solving problems in Real Life by using the methods learned in week 4 for solving systems of equations
Most everyone has a fear of word problems because you haven’t had much experience in solving them
If you just take them one step at a time, you will find them manageable and build your confidence in your ability to successfully tackle any word problem you meet
Remember: I am here to help you! Please read the prompt above to see additional instructions for your Initial Post
Here is an example to get us started
I am working out the entire problem for you, but in your initial post you only need to set up the situation and leave solving the problem to a classmate (see prompt given above)
APPLICATION PROBLEM: DISTANCE = RATE X TIME A boat’s crew rowed 12 miles downstream, with the current, in 1
5 hours
The return trip, against the current, covered the same distance but took 4 hours
Find the crews rowing rate in still water and the rate of the current
The relationship we need to use isDistance = Rate x Time
We will havetwoequations:one for the trip downstream and one for the trip upstream
We have two variables: crews rowing rate in still water and rate of the current
Letw = crews rowing rate in still water Letc = rate of the current Downstream: Distance = Rate xTime Rate will be w+c (rate in still water + current) (1) 12 = (w+c) 1
5 = 1
5w+1
5c Upstream: Distance = Rate xTime Rate will be w-c (rate in still water – current) (2) 12 = (w-c) 4 = 4w-4c One approach is tosimplifythe equations before solving the system
(1) 12=1
5w+1
5c divideboth sides by 1
5 8 = w + c (2) 12 = 4w=4cdivide both sides by 4 3 = w – c UseEliminationon the two equations 8 = w+c 3 = w-c After adding the two equations we have 11 = 2w divide by 2 w = 11/2 =5
5 Usethis value to solve for c
w+c = 8 5
5+c = 8 c = 8 – 5
5 c=2
5 Therefore, therate of the current is 2
5and therate of the crewrowing in still water is 5
5
I can’t wait to see your posts
You may use a scholarly resource, just remember to cite it
