Suppose that x and y vary inversely and that y = 83 when x = 8. write a function that models the inverse variation and find y when x = 4.

1) The function that models the inverse variation is: y=664/x

2) When x=4, y = 166

Step-by-step explanation:

If x and y vary inversely, then:

y=k/x

where k is a constant. We know that y=83 when x=8, then, replacing in the equation above:

83=k/8

Solving for k: Multiplying both sides of the equation by 8:

8(83)=8(k/8)

664=k

k=664

Then, the function that models the inverse variation is:

y=664/x

2) when x=4:

y=664/x

y=664/4

y=166

y = 664/x

y = 166  when x =4.

Step-by-step explanation:

Suppose that x and y vary inversely

y ∝ 1/x

y = k/x                  eq(1)

where k is constant.

Since we have given that

y  = 83 when x = 8

Using above values we have to find the value of constant.

83  =k/8

Multiplying above equation by 8,we get

83(8)  = (k/8)8

664 = k

Putting the value of constant in eq(1),we get

y = 664/x  is equation that models the inverse variation.

We have to find y when x = 4.

y = 664/4

y = 166  when x =4.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

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