Acandle is 6 inches tall and burns at a rate of one half an inch per hour. write an equation to represent the situation.

The equation to represent the situation will be, .

Given A candle is 6 inches tall.

The candle burns at a rate of one half an inch per hour.

Let be the number of hours candle burn and be the height of the candle after hours.

Now , the height of candle = ( initial height ) -( Rate of burning) (Number of hours)

So, the equation to represent the situation will be, .

For more details on equation forming follow the link:

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Step-by-step explanation:

Given  : The initial height of candle = 6 inches

Amount of candle burn each hour = one half an inch per hour.

Now , the height of candle = ( initial height ) -( Rate of burning) (Numb er of hours)

Let y be the height of the candle after x hours.

Then, the equation to represent the situation will be :

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus