Question

Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.

Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original height every hour. The height of Lisa's candle will be more than 6 inches until the candle has been burning for at least __ hours.

a) 2
b) 4
c) 6
d) 8

Answer 1

The height of Lisa's candle will be more than 6 inches until the candle has been burning for at least 20 hours.

Step-by-step explanation:

To find out how many hours the height of Lisa's candle will be more than 6 inches, we need to determine when the candle will have a height of exactly 6 inches. Since the candle loses 10% of its original height every hour, we can use this information to set up an equation: 8 - 0.1x = 6, where x is the number of hours. Now, let's solve for x:

8 - 0.1x = 6

0.1x = 2

x = 20

The height of Lisa's candle will be more than 6 inches until the candle has been burning for at least 20 hours.