Final answer:
The candle burned for approximately 13.33 hours until it was one inch tall.
Step-by-step explanation:
To find out how many hours it took for the candle to burn to one inch tall, we can set up an equation. Let's represent the number of hours as x. According to the given information, the initial height of the candle is 11 inches, and it decreased by 3/4 inches every hour. So, we can write the equation as:
11 - (3/4)x = 1
To solve for x, we can first subtract 11 from both sides:
-(3/4)x = -10
Then, we can multiply both sides by -4/3 in order to isolate x:
x = -10 * -4/3 = 40/3 = 13.33
The candle burned for approximately 13.33 hours until it was one inch tall.