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How do you find an equation of variation where y varies directly as x and y = 0.8 when x = 0.4?

Answer 1

Eva Adamson

#y=2x#

#y" "#varies as #x#

#=>y=kx#

for some constant #k#

#0.8=kxx0.4#

#k=0.8/0.4=2#

#:.y=2x#

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Answer 2

Eli Assouline

To find the equation of variation where y varies directly as x, use the formula y = kx, where k is the constant of variation. Substitute the given values for y and x into the equation and solve for k. Then, rewrite the equation with the found value of k. In this case, k = y/x = 0.8/0.4 = 2. So, the equation of variation is y = 2x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.