SOLUTION: After flying for 10 seconds, he is 2000 meters from her. Then at 14 seconds he is 1800 meters from her. Write an equation to model this situation (use m for meters and s for sec

Algebra ->  Expressions-with-variables -> SOLUTION: After flying for 10 seconds, he is 2000 meters from her. Then at 14 seconds he is 1800 meters from her. Write an equation to model this situation (use m for meters and s for sec      Log On


   



Question 990057: After flying for 10 seconds, he is 2000 meters from her. Then at 14 seconds he is 1800 meters from her.
Write an equation to model this situation (use m for meters and s for seconds)
P.s: I have no idea how to form equations from word problems. Can you please teach me, so that in the future i can be able to solve these problems on my own, Thank you.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I have some tips for word problems:
(1) Every word MAY be important -read carefully
(2) Right away, state that x = the unknown they
are looking for. This really helps.
(3) You might start at the end of what they give you
and start the solution from there- you don't
alway work in a straight line.
(4) Is it a mixture problem? Is it a rate problem?
Is it a work problem? Put it in a category
----------------------------------------------
What you have is a rate problem. It's not worded
very well because it should say that the plane is
flying at a constant speed, so I'll have to assume that.
Sometimes, I put down a formula in words instead of
symbols like for this problem:
[ change in distance ] / [ change in time ] = [ average speed ]
+%28+1800+-+2000+%29+%2F+%28+14+-+10+%29+
+-200+%2F+4+=+-50+ meters / sec
The minus sign doesn't matter in this case, I just need the speed
-------------------------
They want to know, after +s+ seconds, how far in meters is
the plane from her
If +m+ is distance in meters from her, I can say:
+s+ = flying time in seconds
+m+ = meters from her
+2000+-+m+=+50%2A%28+s+-+10+%29+ answer
Does this really work?
After flying for +10+ sec,
+2000+-+m+=+50%2A%28+10+-+10+%29+
+2000+-+m+=+50%2A0+
+2000+-+m+=+0+
+m+=+2000+ distance from her in meters
-----------------------
After flying for +14+ sec,
+2000+-+m+=+50%2A%28+14+-+10+%29+
+2000+-+m+=+50%2A4+
+2000+-+m+=+200+
+m+=+2000+-+200+
+m+=+1800+
It works
It helps if you can plot the equation, or try to
visualize what the plot would look like in order
to search for an equation.
---------------------------
Here's the plot:
I'll just clean up the equation:
+2000+-+m+=+50%2A%28+s+-+10+%29+
Add +m+ to both sides
+2000+=+m+%2B+50%2A%28+s+-+10+%29+
Subtract +50%2A%28+s+-+10+%29+ from both sides
+-50%2A%28+s+-+10+%29+%2B+2000+=+m+
+m+=+-50s+%2B+500+%2B+2000+
+m+=+-50s+%2B+2500+
+graph%28+400%2C+400%2C+-10%2C+70%2C+-400%2C+4000%2C+-50x+%2B+2500+%29+
Hope this isn't too confusing-
keep plugging away -that's what
I've always had to do!