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

The initial value for Candle A is 211 mm, while the initial value for Candle B is 240 mm. The initial values represent the height of each candle at the beginning. The candles cannot be the same height as Candle B always starts with a greater height than Candle A.

Step-by-step explanation:

The initial value for Candle A is 211 mm. This is the height of Candle A when it comes out of the mold.

The initial value for Candle B can be found by substituting t = 0 into the given function: h = 240 - 8t. So, the initial value for Candle B is 240 mm.

The initial values for each candle represent their heights at the beginning. It tells us that Candle A starts at a height of 211 mm, while Candle B starts at a height of 240 mm.

No, the candles cannot be the same height if they start burning at the same time. The initial height of Candle B is greater than the initial height of Candle A. Since the change in height is proportional to the original height, the change in height of Candle B will always be greater than the change in height of Candle A. Therefore, Candle B will always be taller than Candle A.

Answer 2

Step-by-step explanation:

h=196 and t=4 hours

196=220-xt, so -24=-xt

24=xt

24=4x

x=6

h=220-6t. units in mm

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For B, 290-5(4)=290-20=270 mm, initial value of height.