Given:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
The model for Candle B is
where, h is the height in millimeters and t is the time in hours.
To find:
The initial values for each candle and its interpretation.
Solution:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
So, initial value of candle A = 211 mm
The model for Candle B is
Putting t=0, we get
So, initial value of candle B = 210 mm
Initial values for each candle tell you about the height of the candles before they start burning.
Initial value of candle A is greater than B, so the height of candle A is greater than B before they start burning.
Therefore, the initial value of candle A is 211 mm and initial value of candle B is 210 mm.