Given that y varies directly with x in the table below, what is the value of y if the value of x is 7? x 2 4 6 10 y 12 24 36 60 37 42 48 54

42

Step-by-step explanation:

Note that as x increases by 2 from 2 to 4, y increases by 12 from 12 to 24.  Thus, the slope of the line connecting the given points is m = rise / run = 12/2, or m = 6.  Thus, this direct proportion is written as y = 6x.

If x = 7, y = 6(7) = 42

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step-by-step explanation: