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OpenStudy (anonymous):
OpenStudy (anonymous):
@ganeshie8
OpenStudy (anonymous):
I think it'll be 12 inches after burning for 8 hours am I correct? I just need to know how to write the equation
ganeshie8 (ganeshie8):
That's right! you have very good intuition!
ganeshie8 (ganeshie8):
after 3 hours, it is 17 inch tall
after 5 hours, it is 15 inch tall
in 2 hours, it has reduced by 2 inch.
that means it is reducing 1 inch each hour, so slope = -1
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ganeshie8 (ganeshie8):
you know slope = -1
and you know a point, (3, 17)
can you write the equation of line in point-slope form ?
OpenStudy (anonymous):
I believe you need two points to get it, thats only one
ganeshie8 (ganeshie8):
calculating slope requires two points, but we have figured out the slope already
ganeshie8 (ganeshie8):
maybe, lets try this
can yo guess the height of candle at t=0 ? (before it has started burning)
OpenStudy (anonymous):
20 in
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ganeshie8 (ganeshie8):
so the equation would be
`h = 20 - 1t`
which is same as
`h = 20 - t`
ganeshie8 (ganeshie8):
that equation tells us that the candle starts at 20 inch height, and it reduces by 1 inch each hour