73.3k views
5 votes
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

User Nonin
by
7.9k points

2 Answers

4 votes

Answer:

B. 27.

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


(60)/(20)=(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.

User Zoomzoom
by
7.7k points
3 votes
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
User Minikomi
by
6.9k points

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