High School

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16 POINTS determine whether y varies directly with x, if so find the constant of the variable k. Show steps please?


x y

6 6.4

7 11.2

10 16

13 20.8

Answer :

In this problem y varies directly with x. The constant of variation, k, is equal to 1.60

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Rewritten by : Barada



y = kx



6.4 = k(6)



K=6.4/6 = 1.066 = 1.07



11.2 = k(7)



k = 11.2/7 =1.6





16 =k(10)



K = 16/10 = 1.6





20.8 = k(13)



K = 20.8/13 = 1.6


3 of them are directly, but the first one has a different K value so it does not vary directly