PLEASE HELP ALGEBRA 2 QUESTION 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.

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sid071

Hey there!!

After, the candle burning for 3 hours, the height is reduced to 17 inches.

After burning for 5 hours, the candles height is reduced to 15 inches

The height reduced = 17 - 15 = 2 inches.

Now, let's find out the height reduced by the flame in an hour.

It burnt for 3 hours at he start and then 2 hours after that, which gives us a total of 2 hours. In this span of two two hours, the candle height is reduced by 2 inches.

This states that, the candle would be reduced by 1 inch in an hour.

let's take the number of hours burnt = ' t '

Let's take the  height of the candle after burning for t hours as ' h '

We know, the candle reduces by an inch every hour.

Which means, the inches reduced for burning for t hours  = t

We know the candle burnt for 3 hours and we know the candle burns off an inch in a hour.

Through this, we know the original height o the candle  = 17 + 3 inches

The original height of the candle = 20 inches.

Now, to find h , we subtract the inches reduced form the original height.

And we get the answer to our first question.

( i ) x = 20 - t

This is the equation

( ii ) The number of hours = 8

... x = 20 - 8

... x = 12 inches

Hope my answer helps!!


Answer:

12 inches, you can give the other dude brainliest i guess

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