For the function involving the variables listed, use your intuition or additional research, if necessary, to complete parts (a) through (c) below. (minutes after lighting, length of candle)
For the function involving the variables listed, use your intuition or additional research, if necessary, to complete parts (a) through (c) below.
(minutes after lighting, length of candle)
a. Describe an appropriate domain and range for the function.
Choose the appropriate domain for the function below.
A.
The domain is all starting lengths of the candles burned or 0 inches to 5 inches.
B.
The domain is all times in which a candle would burn down or 0 minutes to 300 minutes.
C.
The domain is all times in which a candle would burn down or 0 hours to 300 days.
D.
The domain is all starting lengths of the candles burned or 0 inches to 50 inches.
Choose the appropriate range for the function below.
A.
The range is all times in which a candle would burn down or 0 minutes to 300 minutes.
B.
The range is all starting lengths of the candles burned or 0 inches to 50 inches.
C.
The range is all starting lengths of the candles burned or 0 inches to 5 inches.
D.
The range is all times in which a candle would burn down or 0 hours to 300 days.
Briefly discuss the validity of the graph as a model of the true function. Choose the correct answer below.
A.
The graph is a valid model of the function because length of a candle decreases as time a candle is burning increases.
B.
The graph is not a valid model of the true function.
C.
The graph is a valid model of the function because time a candle is burning decreases as length of a candle increases.
D.
The validity of the graph as a model of the true function can never be known.