As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
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Option A is your answer.
Subtract 3 from both sides to get zero on the right side of the equal sign.
8 - 3 = 5.
So that becomes your constant term in the equation.
Rotational, horizontal, and vertical.
If you are imposing the x=-9 then, the problem would be set up like this:
=-9-3(-9)+5
=-9-(-27)+5
=18+5
=23