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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

Respuesta :

musiclover10045
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:

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 [tex]y=kx[/tex], where k represents constant of proportionality.

Let is find value of k by substituting [tex]x=20[/tex] and [tex]y=60[/tex] in above equation as:

[tex]60=k*20[/tex]

[tex]\frac{60}{20}=\frac{k*20}{20}[/tex]

[tex]3=k[/tex]

The equation [tex]y=3x[/tex] represents our given direct proportional relation.

Now, we will substitute [tex]x=9[/tex] to solve for y as:

[tex]y=3*9[/tex]

[tex]y=27[/tex]

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

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