Question

A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables are directly related, how many hours would a 9-ounce candle be expected to burn?
18
27
33
45

Answer 1

Divide size of candle by number of hours
 to find the rate it burns:

20 ounce / 60  hours = 1/3 ounce per hour 

divide 9 ounces by 1/3 ounce per hour to find total time:

9 / 1/3 = 27 hours

Answer 2

Answer:

B. 27.

Step-by-step explanation:

We have been given that a 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours.

We know that a direct proportional equation is in form $y=kx$, where k represents constant of proportionality.

Let is find value of k by substituting $x=20$ and $y=60$ in above equation as:

$60=k*20$

$\frac{60}{20}=\frac{k*20}{20}$

$3=k$

The equation $y=3x$ represents our given direct proportional relation.

Now, we will substitute $x=9$ to solve for y as:

$y=3*9$

$y=27$

Therefore, a 9-ounce candle would be expected to burn for 27 hours and option B is the correct choice.