Question

A linear function models the height of a burning candle. 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 h=240-8t ​, where h is the height in millimeters and t is the time in hours. What are the initial values for each​ candle? What do the initial values for each candle tell​ you?
Use a pencil and paper. If the candles begin burning at the same​ time, can they ever be the same​ height? Explain.

The initial value for candle A is...... mm

Answer 1

Answer:

(11.4 - 22.8) / (26 - 7)

-11.4 / 19 this is the rate at which it burns - the slope

h = (-11.4/19)t + b

22.8 = (-11.4/19)7 + b

22.8 = (-79.8/19) + b

22.8 = -4.2 + b

27 = b

h = (-11.4/19)t + 27

Substitute 15 for t to determine the height of the candle.