A20-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

 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

Therefore, the equation of the line is

So, if x = 9, then

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

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.