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10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of corresponding values of x and y? (A) 12 and 5 (B) 15 and 4 (C) 25 and 2.4 (D) 45 and 1.2

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User Csavvy
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Answer:

D) 45 and 1.2

Explanation:

The "varies inversely" relationship is described by the equation ...

y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

xy = k . . . . . . multiply the above equation by x

(10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

y = 60/x

you can multiply them together to see if the product is 60.

(A) 12×5 = 60

(B) 15×4 = 60

(C) 25×2.4 = 60

(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

User Fika
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