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?

- anonymous

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- dan815

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- dan815

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- Hero

Well... You had the right idea but the wrong setup

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## More answers

- 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

@spkno
@dan815

- dan815

hmm a little ambiguous

- Hero

@dan815, -15/6 acres could not have been burned in the 0th hour.

- dan815

yeah i know its werid but.. having 0 burnt in 1 hour with a fire is messed up too

- 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

0 acres are burned, but maybe a few feet or some miles are burned.

- dan815

then itb be point something lol

- dan815

dont forget those rationals

- dan815

theyre still part of the real numbers

- 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

yep but they have integer solution only in the question man

- 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

they have to say* integer solution only in the question

- dan815

do you understand now?

- 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

no u see you have a solution that works, mine is another solution dont get angry lol

- dan815

there are an infinite solutions that work, due to the ambiguity in this question

- dan815

they just needed to state some restrictions

- dan815

you understand?

- dan815

try to be a little more flexible with your reasoning it will help you later when you learn more math

- 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

why do you say that?

- dan815

this is math -15/6 could mean something

- dan815

you see since they didnt say integer solutions only

- dan815

lets say that for your case, where fire is at 0 given time = 1

- dan815

would 30 mins of time not exist?

- dan815

or any other time inbetween 0 and 1 hour, but in that case you will have a negative solution too

- dan815

you see what i am trying to get you to understand?

- dan815

no but you have 0 acers in 1 hour, so how 1.5 acers at the 0.30 time mark

- dan815

dummy batooty

- dan815

:)

- Hero

I mean, some miles

- dan815

again with that

- Hero

In the first hour zero acres are burned. The equation is defined in terms of acres not anything else.

- dan815

remember rationals again

- dan815

you can have fractions of an acre

- Hero

Of course, but this problem is set up for convenience.

- 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

some negative ammount

- dan815

it just doesnt make sense for us

- Hero

Exactly, which definitely makes no sense

- 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

hold on ill try to find some good videos for you, you seem interested in this stuff

- Hero

I didn't ask for any videos.

- Hero

You can feel free to look at them on your own.

- dan815

haha

- dan815

im just pulling your leg:)

- 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

there we go

- dan815

my solution actually would make sense too, id have all positive values for hour 1 to 5

- dan815

but it wouldnt definitely be the wrong solution given what the teacher is really looking for

- dan815

it would*

- dan815

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- dan815

you see mathematically speaking

- dan815

the solution y=3x-15/6 would even make more sense than y = 3x because it has positive values sooner

- dan815

ok im sorry!! ill stop messing with you

- Hero

I'm already aware of the mathematics

- Hero

You haven't shown me anything I don't already know.

- dan815

i know that i mean ill stop teasing you

- Hero

Teasing is something immature kids do.

- dan815

iam very immature :)

- dan815

anyway! hows your programming

- dan815

I recently decided to start learning some python

- Hero

I hate programming

- dan815

could use some help with coding!

- dan815

why!

- dan815

coding is fun!! you get to try all that stuff you learn in math out

- Hero

It's only useful if you plan to eventually create something beneficial for humanity.

- dan815

haha

- Hero

Something you've already thought of

- Hero

Fortunately, they've already built calculators.

- 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

also not that literally everyones got an iphone or something like that.. we can make sure of our programs anywhere we go!!

- dan815

use* of

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