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

Because the ratio for both candles is 20/60 or 1/3 then take the number of ounces the candle has and divide by 1/3. In expression: 9 / 1/3 => 9 * 3 = 18

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ColinJacobus ColinJacobus · Answer 2 · 2019-04-15T19:51:20+02:00

Answer: A 9-ounce candle is expected to burn for 27 hours.

Step-by-step explanation: Given that a 20-ounce candle is expected to burn for 60 hours and a 12-ounce candle is expected to burn for 36 hours.

If the variables are directly related, we are to find the number of hours that a 9-ounce candle is expected to burn.

Let, x represents the number of ounces of the candle and y represents the corresponding number of hours for which it burns.

Then, since the variables are directly related, the graph will be a straight line.

And, the two points (x, y) = (20, 60) and (12, 36) lies on the line.

So, the slope of the line will be

[tex]m=\dfrac{36-60}{12-20}\\\\\\\Rightarrow m=\dfrac{-24}{-8}\\\\\Rightarrow m=3.[/tex]

Therefore, the equation of the line is

[tex]y-36=m(x-12)\\\\\Rightarrow y-36=3(x-12)\\\\\Rightarrow y=3x.[/tex]

So, if x = 9, then

[tex]y=3\times9=27.[/tex]

Thus, a 9-ounce candle is expected to burn for 27 hours.