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I honestly don't understand how to solve linear word problems... Can someone help me solve one?
 one year ago
 one year ago
I honestly don't understand how to solve linear word problems... Can someone help me solve one?
 one year ago
 one year ago

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anonymous551Best ResponseYou've already chosen the best response.0
I honestly don't understand how to solve linear word problems.. Here's the quesion: 1a. ) The Peanut gallery made a profit of $16,450 in 2002, and a profit of $21,340 in 2005. Assume that the profit followed a linear pattern. Write an equation that gives the profit, y, in terms of the year, x. Let x=0 correspond to 2000. Equation: 1b.) What was the profit in 2008 1c.) In what year would the profit be $31, 120 in the trend continued? Please show explanations & work. I really..don't understand this. (I obviously know the basics solving equations, finding slope from an equation, y=mx + b, etc.)
 one year ago

findmeBest ResponseYou've already chosen the best response.0
ok, so you know the generic linear equation y=mx+b, and you also know that y=profit, x = year (where x=0 corresponds to year 2000), also, you are given enough data to set up two linear equation of the form y=mx+b. can you try to set up two equations?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
if you need farther help, ask :D
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Um..I don't know..
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
You're supposed to find one equation of this problem. That can be done, by using more than one equations I think..
 one year ago

findmeBest ResponseYou've already chosen the best response.0
alright, so in the year 2002 (x=2), the profit is y = 16450, then that means: A: 16450 = 2m + b can you set up equation B?
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Equation "B" as in finding the slope?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
i mean another linear equation which i denote as "B", similar to equation "A" that I've set up above
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Okay. I need clarification. My Algebra teacher solved this problem like this: dw:1354175590461:dw
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Can you explain what she (teacher) did there?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
the equation is correct. what your teacher did is solve a system of two linear equations, which are the equations A which as shown earlier, and equation B, which has a very similar setup as A. to match what your teacher did, let A and B be two linear equations as shown below: A: y = mx + b B: Y = mX + b then, to solve for m: m = (Yy)/(Xx)
 one year ago

findmeBest ResponseYou've already chosen the best response.0
after solving for m, plug m back into either A or B to solve for b, and you get your equation :D
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
What is equation "A" & "B"?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
equation "A" was shown earlier, remember? and "B" has a similar set up using the data given
 one year ago

findmeBest ResponseYou've already chosen the best response.0
"alright, so in the year 2002 (x=2), the profit is y = 16450, then that means: A: 16450 = 2m + b can you set up equation B?"
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Oh. Yeah. Of course. Could you solve 1b for me?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
i can help you on 1b, but can you show me your 1a first :D
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Okay. y = 1630(2002) +13190
 one year ago

findmeBest ResponseYou've already chosen the best response.0
for B the year would be 2005, so x = ?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
2002 is for A, which makes x = 2, what about B?
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Yeah..I think I did something wrong with this equation
 one year ago

findmeBest ResponseYou've already chosen the best response.0
remember, x=0 mean 2000, that means x=1 is 2001, x=2 is 2002, x=3 is 2003 and so on
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
y = 1630(8) + 13190
 one year ago

findmeBest ResponseYou've already chosen the best response.0
thats for 1b, which means y = ?
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
y= 13040 + 13190 y = 26230
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Where did '5 2" from the upper equation used to solve 1a come from?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
that is from "Xx", where X = 5 for 2005, and x = 2 for 2002
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Why did they need to be subtracted from each other?
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Why did "52" have to happen? Why is that relevant?
 one year ago

findmeBest ResponseYou've already chosen the best response.0
What is equation B minus equation A?
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
2005  2002? > Used 5 from 2005, and "2" from 2002?
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
I don't know. That's why I'm asking you.
 one year ago

findmeBest ResponseYou've already chosen the best response.0
What is equation A and equation B? you should know this by now.
 one year ago

findmeBest ResponseYou've already chosen the best response.0
but, if you just want to understand the Xx part, then you have to understand what the slope m of an linear equation means
 one year ago

findmeBest ResponseYou've already chosen the best response.0
it means the rate of change of y with respect to x
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Yes I know. But..
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
I'm very frustrated. I was just wondering if you could solve the equation, (and just the equation) and give me stepbystep explanations.
 one year ago

anonymous551Best ResponseYou've already chosen the best response.0
Your teaching methods..aren't helping me...that much. No offense.......
 one year ago

findmeBest ResponseYou've already chosen the best response.0
To solve for the slope m, just compute m = (Yy)/(Xx) where Y and X are from one linear equation, while y and x are from the other. then substitute m back into anyone of those two equations, to solve for b, and you get the equation that you want.
 one year ago

findmeBest ResponseYou've already chosen the best response.0
which is y = mx + b, where m and b are the value found using the above method.
 one year ago
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