Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then graph the equation.
yequals
6.8
when xequals
1.7
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Part 1
The equation of variation is yequals
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.
(Simplify your answer.)
The direct variation equation that relates x and y is y = kx, where k is the constant of variation. To find the value of k, we can substitute the given values of y and x into the equation and solve for k.
When y = 6.8 and x = 1.7, we have:
6.8 = k(1.7)
Now we can solve for k by dividing both sides of the equation by 1.7:
k = 6.8 / 1.7
k = 4
Therefore, the direct variation equation that relates x and y is y = 4x.