Question

a 10\frac{1}{2}-inch candle burns down in 6 hours. at what rate does the candle burn, in inches per hour?
answer: \boxed{} inches per hour
\bigcirc 1.70
\bigcirc 1.75
\bigcirc 1.66
\bigcirc 1.60

Explanation:

Step1: Convert mixed number to improper fraction

The length of the candle is \(10\frac{1}{2}\) inches, which is equal to \(\frac{21}{2}\) inches (since \(10\times2 + 1 = 21\)).

Step2: Calculate the burning rate

The rate is calculated by dividing the total length by the total time. So we divide \(\frac{21}{2}\) by 6. Mathematically, this is \(\frac{21}{2}\div6=\frac{21}{2}\times\frac{1}{6}=\frac{21}{12}=\frac{7}{4} = 1.75\) inches per hour.

Answer:

1.75