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## Determine whether y varies directly with x. If so, find the constant of variation k and write the equation. x 6 18 54 162 y 24 72 216 648 Option

SOLUTION: Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

x

6

18

54

162

y

24

72

216

648

Option

Algebra ->

Rational-functions

-> SOLUTION: Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

x

6

18

54

162

y

24

72

216

648

Option

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Question 7326: Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

x 6 18 54 162

y2472216648Options are: a. Yes k=4; y=4x b. yes, k = 3; y=3x c. yes, k=6; y= 6x d no

Ok, please tell me how to solve this problem and plus can u explain to me wht is direct variation? coz i believe this question’s got sth to do with it………….thanks a lot!

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Answer by longjonsilver(2297) (Show Source):

You can put this solution on YOUR website! there are 2 simple variations…

1. x varies directly with y –> y x –> y = kx, where k is a constantor2. x varies indirectly with y –> y 1/x –> y = k/x, where k is a constant

in type 1, as x increases, so y increases.in type 2, as x increases, so y decreases.

Looking at your numbers…as x increases, so y increases…looks pretty “direct” to me.

So, i am assuming that y=kx is the equation form that “explains” the numbers. We need to find k. So, put in some numbers…easy as that:

24 = 6k –> k=4

So, i believe all the pairs of numbers are generated by y=4x. You check it, to confirm this: put an x value in..do you get the y-values quoted in the question?

jon.

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SOLUTION: Find the variation constant and an equation of – Determine whether {eq}y {/eq} varies directly with {eq}x {/eq}. If so, find the constant of variation {eq}k {/eq} and write the equation.Any direct version equation is of the form y = kx, meaning that the y-intercept is the beginning. (The consistent of version is in simple terms the slope of the line.) The technical definition of direct version is the region the place the quotient between 2 variables continues to be consistent. interior the gap-value-time occasion, d = rt, d2-2 Practice Modified Determine whether y varies directly with x.If so, find the constant of the variation. 4. y = 5x 5.3y = 4x + 6 6. 7 y x For Exercises 7-10, y varies directly with x. 7. If y = −2 when x = 1, find x when y = 4. 8. If y = 4 when x = 5, find y when x = 10. 9. If y = 12 when x = 36, find x when y = 7. 10. If y = 121 when x = 11, find y when x = 5. 11.