Write an equation in the form y kx where k is the constant of variation if y varies directly as x and y 62.50 when x 10?

Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ). Given that ( y = 62.50 ) when ( x = 10 ), we can substitute these values into the equation: ( 62.50 = k(10) ). Solving for ( k ) gives ( k = \frac{62.50}{10} = 6.25 ). Therefore, the equation is ( y = 6.25x ).