A candle that is 11 inches tall is lit. As the candle burns, its height decrease

Question

A candle that is 11 inches tall is lit. As the candle burns, its height decreases at a rate of 1.1 inches per hour. Let t represent the varying number of hours that have elapsed since the the candle started burning. Write an expression to represent the varying value of quantity described in each part. Each expression should be written in terms of the appropriate variable. a. 30 minutes less than twice the time the candle has been burning. (Your expression should represent a number of hours.) Preview b. The length of the candle (in inches) that has burned since the candle started burning Preview c. The length of the candle (in inches) that remains since the candle started burning. Preview

Explanation / Answer

Initially, it is 11 inches tall.

Ht decreases at 1.1 inch/hr

The burned length is : 1.1t inches

1.1t

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Part A :
30 min is 1/2 hr

Time candle has been burning is t hrs
Twice this time is : 2t

So, 30 min less than twice the time is :
2t - 1/2 ----> part A

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C)
So, in t hrs it diminishes by 1.1t inches

So, the remaining ht is :
11 - 1.1t ---> answer to part C

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