Precalculus Module 2: Investigation 4 Constant Rate of Change & Proportionality A 19-inch candle ...
Precalculus Module 2: Investigation 4 Constant Rate of Change & Proportionality A 19-inch candle is lit. The candle burns away at a constant rate of 2.5 inches per hour 4. Draw a diagram th a. at represents a "snapshot" in the process of the burning candle. To the side of ows) to represent varying quantities and the direction of their variation, and fixed length your diagram, identify every quantity that is relevant to the process and us with arr ine segments to represent quantities that are fixed such as the original length of the candle. Define variables to represent the values of the varying quantities that you identify in the situation. Represent the variables you defined on your diagram, being careful to indicate accurately where the measurement of each quantity begins. b. Write a formula to represent the change in the length of the candle (in inches) in terms of the change in the number of hours since the candle was lit. c. Write a formula to represent the length of the candle (in inches) in terms of the number of hours since the candle was lit. d. e. How much time will it take for the candle's length to become 0 (to burn the entire candle)? Explain your reasoning. Page J
Precalculus Module 2: Investigation 4 Constant Rate of Change & Proportionality A 19-inch candle is lit. The candle burns away at a constant rate of 2.5 inches per hour 4. Draw a diagram th a. at represents a "snapshot" in the process of the burning candle. To the side of ows) to represent varying quantities and the direction of their variation, and fixed length your diagram, identify every quantity that is relevant to the process and us with arr ine segments to represent quantities that are fixed such as the original length of the candle. Define variables to represent the values of the varying quantities that you identify in the situation. Represent the variables you defined on your diagram, being careful to indicate accurately where the measurement of each quantity begins. b. Write a formula to represent the change in the length of the candle (in inches) in terms of the change in the number of hours since the candle was lit. c. Write a formula to represent the length of the candle (in inches) in terms of the number of hours since the candle was lit. d. e. How much time will it take for the candle's length to become 0 (to burn the entire candle)? Explain your reasoning. Page J