Pergunta

Suppose that y varies directly with x, and y=10 when x=25 (a) Write a direct variation equation that relates x and y . Equation: in (b) Find y when x=6 y= square
Solução

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GuilhermeProfissional · Tutor por 6 anos
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(a) To write a direct variation equation that relates x and y, we need to find the constant of variation, k. We can do this by plugging in the given values of x and y into the direct variation equation, y = kx.<br /><br />Given that y = 10 when x = 25, we can substitute these values into the equation:<br /><br />10 = k(25)<br /><br />To solve for k, divide both sides of the equation by 25:<br /><br />k = 10/25<br />k = 2/5<br /><br />So, the direct variation equation that relates x and y is:<br /><br />y = (2/5)x<br /><br />(b) To find y when x = 6, we can substitute x = 6 into the direct variation equation:<br /><br />y = (2/5)(6)<br />y = 12/5<br />y = 2.4<br /><br />Therefore, when x = 6, y = 2.4.
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