Question

8 the height of a 9-inch candle changes at a rate of $-\frac{2}{3}$ inch per hour when it is burning. how long will it take the candle to burn completely?
show your work.

solution: _______________

Explanation:

Step1: Define total height and burn rate

Initial height $h = 9$ inches, burn rate $r = \frac{2}{3}$ inch/hour (we use positive rate for time calculation, as we care about the amount burned per hour).

Step2: Calculate time to burn completely

Time $t$ equals total height divided by burn rate.
$t = \frac{9}{\frac{2}{3}} = 9 \times \frac{3}{2}$

Step3: Compute the final value

$t = \frac{27}{2} = 13.5$

Answer:

13.5 hours (or $\frac{27}{2}$ hours)