is y 5 8x proportional Rewrite in slope intercept form Tap for more steps y 5 8x y 5 8 x Use the slope intercept form to find the slope and y intercept Tap for more steps Slope 5 8 5 8 y
1 Expert Answer Best Newest Oldest Nikolaos P answered 05 17 22 Tutor 4 9 87 Experienced teacher with a PhD in mathematics About this tutor Yes In the equation y 5 8x the constant of proportionality is 5 8 It signifies the constant rate at which y changes with respect to x Thus for every one unit increase
is y 5 8x proportional
is y 5 8x proportional
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Graph The Equation Y x 2 8x 7 On The Accompanying Set Of Axes You
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Algebra Find the Constant of Variation y 5 8x y 5 8 x y 5 8 x Combine 5 8 5 8 and x x y 5x 8 y 5 x 8 Since the equation can be written in the form y kx y k x y y Worked example y is directly proportional to x and y 30 when x 6 Find the value of x when y 45 Created by Sal Khan and Monterey Institute for Technology and Education
So let s say so this is x and this is y and when x is one y is four and when x is two y is eight and when x is three y is 12 Now you might immediately recognize that this is a So right now it says 4y is equal to 8x Well if we wanna solve for y we can just divide both sides by four and we are left with y is equal to eight divided by four which is two times
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You can compute the constant of proportionality in three steps Determine the independent variable X The first step is to determine the independent variable X This If y is directly proportional to x then we can write y kx where k is the constant of proportionality If you solve for k we have k y x which is the ratio of y to x Hence the
If we know that it takes 20 people 15 hours to perform a task and that the relationship is inversely proportional we can find the constant of proportionality by multiplying the Solution We know that y varies proportionally with x We can write the equation of the proportional relationship as y kx Substitute the given x and y values and solve for k
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is y 5 8x proportional - Well in your example y kx the constant of proportionality k is not the first variable Anyway no the constant of proportionality does not have to be the first variable You