A 12-inch candle is lit and steadily burns until it is burned out. As the burned length of the candle increases from 4 to 7.5 inches, the remaining length of the candle varies from inches to inches. Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit). Write an expression in terms of b that represents the remaining length of the candle (in inches).

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Answer:

The remaining length of the candle varies from 8 inches to 4.5 inches.

The required expression is: [tex]r=12-b[/tex]

Where, b represents the burned length and r represents the remaining length.

Step-by-step explanation:

Consider the provided information.  

A 12-inch candle is lit and steadily burns until it is burned out.

The length of the candle is 12 in.

The burned length of the candle is 4 in.

That means the remaining length is 12 - 4 = 8 in

The burned length of the candle is 7.5 in.

That means the remaining length is 12 - 7.5 = 4.5 in

Hence, the remaining length of the candle varies from 8 inches to 4.5 inches.

Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit) and r represents the the remaining length of the candle (in inches).

The required expression is: [tex]r=12-b[/tex]

An expression in terms of b that represents the remaining length of the candle (in inches) is [tex]\rm r = 12-b[/tex].

Given

A 12-inch candle is lit and steadily burns until it is burned out.

Let b represent the burned length and let r represent the remaining length.

What formula is used to find the remaining length?

The formula is used to find the remaining length is;

Remaining length = Initial length - burned length

The length of the candle is 12 in.

The burned length of the candle is 4 in.

Then,

The remaining length is 12 - 4 = 8 in

The burned length of the candle is 7.5 in.

Then,

The remaining length is 12 - 7.5 = 4.5 in

Therefore,

An expression in terms of b that represents the remaining length of the candle (in inches) is;

[tex]\rm r = 12-b[/tex]

Hence, an expression in terms of b that represents the remaining length of the candle (in inches) is [tex]\rm r = 12-b[/tex].

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