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.
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.
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candle 1's rate: 19.5 cm/hr
candle 2's rate: 0.15 in/min
1 inch = 2.54 cm
0.15 in = 0.15x2.54 = 0.381 cm
candle 2's converted rate = 0.381 cm/min
60 min = 1 hr
0.381 cm/min = 0.381x60 cm/hr = 22.86 cm/hr
Candle 1 @ 19.5 cm/hr
Candle 2 @ 22.86 cm/hr
===> Candle 1 melts more slowly so would be the preferred choice
x-axis would be time, and each unit on the axis would be appropriate at 30 min.
y-axis would be height, with each unit being, perhaps, 4 cm so candle would start at (0,10).