anonymous
  • anonymous
A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours. I have a bit of an idea how to do this but the format requires that I be very detailed to get full points. Please help! Thanks.
Mathematics
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anonymous
  • anonymous
A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours. I have a bit of an idea how to do this but the format requires that I be very detailed to get full points. Please help! Thanks.
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
height, h, and time, t, are like y and x in equations you've probably seen before. So you have two ordered pairs of (x,y), but they are expressed as (t, h). If you have two ordered pairs, can you recall how to write a linear equation (i.e. equation for a line)?
anonymous
  • anonymous
y=mx+b i believe?
anonymous
  • anonymous
oh gosh i closed this question already didn't I well, I opened a new one and still need a little help with that one x.x

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anonymous
  • anonymous
I think you will need to find the slope... m = (y2 - y1) / (x2 - x1) here, using (t, h) points, slope would be (h2 - h1) / (t2 - t1)
anonymous
  • anonymous
So, step 1 is to use the two (t,h) points given in the problem and find the slope. Then you can use the slope, m, and one of the points to set up the linear equation. h - h1 = m(t - t1) <<----- plug in the slope you found and one of the (t,h) points then simplify
anonymous
  • anonymous
oh I see! so.. hm I really wished I hadn't closed this haha. so plug in like 5 and 15. to the slope. And to find where it would be at 8 hours..? plug in 8 and..

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