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Question 279277: Tallest candle is 16 centimeters. For each hour it burna, the candle loses 2.5 centimeters its height. The shortest candle is 12 centimeters and it loses 1.5 centimeter its height for each hour it burns. Determine whether these 2 candles would ever reach the same height it allows to burn the same length of time. Also, what height the 2 candles would be at that time. if it is possible why it could not happen and what would it need to be true in order for them to be able to reach the same height. Please use the multiple representation and justify the results and explain your thinking. Thank you.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Tallest candle is 16 centimeters. For each hour it burns, the candle loses 2.5 centimeters its height.
The shortest candle is 12 centimeters and it loses 1.5 centimeter its height for each hour it burns.
Determine whether these 2 candles would ever reach the same height it allows to burn the same length of time.
Also, what height the 2 candles would be at that time.
if it is possible why it could not happen and what would it need to be true in order for them to be able to reach the same height.
Please use the multiple representation and justify the results and explain your thinking.
:
Let t = no. hrs for the two candles to be equal
:
16-2.5t = 12-1.5t
16 - 12 = -1.5t + 2.5t
4 = t, will the same height in 4 hrs
:
what height the 2 candles would be at that time.
16 - 2.5(4) = 6 cm
check the smaller candle
12 - 1.5(4) = 6 cm also
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