Suppose y varies directly with x and y=72when x=6. what direct variation equation relates x and y? what is the value of y when x=10

a. y=1/12x; 120
b. y=12x; 120
c. y=6x; 62
d. y=1/6x; 43.2

First, we must find the constant of proportionality, k, shared between y and x. Since they're directly proprtional, we have y = kx. Given that y is 72 when x is 6, we can substitute these values into the equation and solve for k. 72 = 6k k = 72/6 = 12 Now, since k = 12, we can substitute this into the equation and have y = 12x, which is the direct variation equation relating x and y. Now, using this equation, the value of y when x is 10 is equal to y = 12(10) = 120. B. y = 12x ; 120

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