anonymous
  • anonymous
a forest fire spread to 30 acres in 5 hours. each hour the fire spread to 3 more acres than the previous hour. how many acres were consumed during each hour of the fire?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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dan815
  • dan815
|dw:1377567979713:dw|
dan815
  • dan815
|dw:1377568185926:dw|
Hero
  • Hero
Well... You had the right idea but the wrong setup

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Hero
  • Hero
30 = x + (x + 3) + (x + 6) + (x + 9) + (x + 2) 30 = 5x + 30 30 - 30 = 5x 0 = 5x 0/5 = x 0 = x Which means zero acres were burned in the first hour, then 3 acres the second hour, and so on.
Hero
  • Hero
@spkno @dan815
dan815
  • dan815
hmm a little ambiguous
Hero
  • Hero
@dan815, -15/6 acres could not have been burned in the 0th hour.
dan815
  • dan815
yeah i know its werid but.. having 0 burnt in 1 hour with a fire is messed up too
dan815
  • dan815
i kinda just assumed -15/6 was some constant to make the equation work where time must be greater than 1 u know
Hero
  • Hero
0 acres are burned, but maybe a few feet or some miles are burned.
dan815
  • dan815
then itb be point something lol
dan815
  • dan815
dont forget those rationals
dan815
  • dan815
theyre still part of the real numbers
Hero
  • Hero
The equation was setup in terms of acres. And if there was meant to be an exact integer solution, then no, it wouldn't be point something.
dan815
  • dan815
yep but they have integer solution only in the question man
dan815
  • dan815
i agree that the solution is for this case given the level of difficulty is probably x=0 for time 1 but just saying it was a little ambiguous
dan815
  • dan815
they have to say* integer solution only in the question
dan815
  • dan815
do you understand now?
Hero
  • Hero
I understand that my solution is correct and yours isn't. You don't have x = 0 you have x = -15/6 which doesn't make any sense.
dan815
  • dan815
no u see you have a solution that works, mine is another solution dont get angry lol
dan815
  • dan815
there are an infinite solutions that work, due to the ambiguity in this question
dan815
  • dan815
they just needed to state some restrictions
dan815
  • dan815
you understand?
dan815
  • dan815
try to be a little more flexible with your reasoning it will help you later when you learn more math
Hero
  • Hero
The thing is, you assumed a 0th hour. So the 0th hour would have to mean something in context with the given question. But in the context, -15/6 doesn't mean anything in context with the question.
dan815
  • dan815
why do you say that?
dan815
  • dan815
this is math -15/6 could mean something
dan815
  • dan815
you see since they didnt say integer solutions only
dan815
  • dan815
lets say that for your case, where fire is at 0 given time = 1
dan815
  • dan815
would 30 mins of time not exist?
dan815
  • dan815
or any other time inbetween 0 and 1 hour, but in that case you will have a negative solution too
dan815
  • dan815
you see what i am trying to get you to understand?
dan815
  • dan815
no but you have 0 acers in 1 hour, so how 1.5 acers at the 0.30 time mark
dan815
  • dan815
dummy batooty
dan815
  • dan815
:)
Hero
  • Hero
I mean, some miles
dan815
  • dan815
again with that
Hero
  • Hero
In the first hour zero acres are burned. The equation is defined in terms of acres not anything else.
dan815
  • dan815
remember rationals again
dan815
  • dan815
you can have fractions of an acre
Hero
  • Hero
Of course, but this problem is set up for convenience.
Hero
  • Hero
let's assume, in your case that -15/6 for zeroth hour means nothing. Then how many acres was burned in one minute?
dan815
  • dan815
some negative ammount
dan815
  • dan815
it just doesnt make sense for us
Hero
  • Hero
Exactly, which definitely makes no sense
dan815
  • dan815
but if i were to say there is a restriction on time where this equation is valid which i did then it does
dan815
  • dan815
hold on ill try to find some good videos for you, you seem interested in this stuff
Hero
  • Hero
I didn't ask for any videos.
Hero
  • Hero
You can feel free to look at them on your own.
dan815
  • dan815
haha
dan815
  • dan815
im just pulling your leg:)
Hero
  • Hero
I suppose the question is ambiguous since no restriction was defined. I just the real question is, what is the default assumption for a question like this? Would it be one where the result would make sense, or one where the result makes no sense?
dan815
  • dan815
there we go
dan815
  • dan815
my solution actually would make sense too, id have all positive values for hour 1 to 5
dan815
  • dan815
but it wouldnt definitely be the wrong solution given what the teacher is really looking for
dan815
  • dan815
it would*
dan815
  • dan815
|dw:1377574529257:dw|
dan815
  • dan815
you see mathematically speaking
dan815
  • dan815
the solution y=3x-15/6 would even make more sense than y = 3x because it has positive values sooner
dan815
  • dan815
ok im sorry!! ill stop messing with you
Hero
  • Hero
I'm already aware of the mathematics
Hero
  • Hero
You haven't shown me anything I don't already know.
dan815
  • dan815
i know that i mean ill stop teasing you
Hero
  • Hero
Teasing is something immature kids do.
dan815
  • dan815
iam very immature :)
dan815
  • dan815
anyway! hows your programming
dan815
  • dan815
I recently decided to start learning some python
Hero
  • Hero
I hate programming
dan815
  • dan815
could use some help with coding!
dan815
  • dan815
why!
dan815
  • dan815
coding is fun!! you get to try all that stuff you learn in math out
Hero
  • Hero
It's only useful if you plan to eventually create something beneficial for humanity.
dan815
  • dan815
haha
Hero
  • Hero
Something you've already thought of
Hero
  • Hero
Fortunately, they've already built calculators.
dan815
  • dan815
i just want to get good at coding so i can do more of those annoying time consuming stuff i do with the computer faster
dan815
  • dan815
also not that literally everyones got an iphone or something like that.. we can make sure of our programs anywhere we go!!
dan815
  • dan815
use* of

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