4. Suppose y varies directly with x. Write a direct variation equation that relates x and y. v=-10 when χ=2 Ov=-5x Ov=-1 Π Ov=5x Ov=x
Mathematics · Middle School · Thu Feb 04 2021
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If y varies directly with x, this means there is a constant k such that y = kx. To write the direct variation equation that relates x and y, we need to determine the value of k.
Given that v = -10 when x = 2, we can replace v with y and x with x in our direct variation equation and solve for k: y = kx -10 = k(2)
Now we solve for k: k = -10 / 2 k = -5
Therefore, the direct variation equation that relates x and y is: v = -5x