Final answer:
To find the number of hours it would take for the candle to burn 6(1/8) inches, we can set up a proportion using the candle's burn rate. Solving for x, we find that it would take approximately 0.873 hours.
Step-by-step explanation:
To solve this problem, we can set up a proportion using the candle's burn rate. Let's call the number of hours it takes for the candle to burn 6(1/8) inches x. The proportion would be:
8(3/4) inches / 55 hours = 6(1/8) inches / x hours
Next, we can cross-multiply and solve for x:
(8(3/4) inches) * x = (55 hours) * (6(1/8) inches)
80 * 4.8x = 55 * 6.125
384x = 335.375
x ≈ 0.873 hours
Therefore, it would take approximately 0.873 hours for the candle to burn 6(1/8) inches.