Shiloh wants to buy a long lasting candle. Type 1 candle melts by 19.5 cm each hour. Type 2 candle melts by 0.15 inch each minute. Both the candles have the same original height.

[1 inch = 2.54 cm]

Part A: Which type of candle should Shiloh buy? Justify your answer by comparing the rate at which they melt after converting to the same units. (5 points)

Part B: If the original height of the candles was 40 cm and you checked on its height every 30 minutes after lighting it, describe appropriate scales on the x-axis and y-axis to graph the rate at which the slower candle melts. (5 points)

Question

Shiloh wants to buy a long lasting candle. Type 1 candle melts by 19.5 cm each hour. Type 2 candle melts by 0.15 inch each minute. Both the candles have the same original height.

[1 inch = 2.54 cm]

Part A: Which type of candle should Shiloh buy? Justify your answer by comparing the rate at which they melt after converting to the same units. (5 points)

Part B: If the original height of the candles was 40 cm and you checked on its height every 30 minutes after lighting it, describe appropriate scales on the x-axis and y-axis to graph the rate at which the slower candle melts. (5 points)

anonymous · Answer

Part A: Candle one melts 19.5cm each hour so by setting up a proportion of 19.5/60min you can easily compare the two candles and their rates. Candle two melts .15 in every minute so by multiplying .15 by 2.54 the conversion rate between inches and centimeters you get the amount it melts in centimeters every minute, .381cm per minute then by multiplying that by 60 (there are 60 minutes in an hour) you get its rate, 22.86 over 60 so candle two will last longer