Question

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.
Question 11 options:

A)

y = –28x

B)

y = –7∕x

C)

y = –28∕x

D)

y = –7x

Answer 1

C. y= -28/x

y=k/x

cross multiply

k= y×x

k = -2×14

k = -28

y = -28/x [ equation connecting x and y]

Answer 2

The equation that connects x and y si y = –28∕x.

The correct option is (C)

What is proportionality constant?

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant. The proportionality constant's value is determined by the proportion between the two specified quantities.

For example,  The number of apples in a crop, for example, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.

We have given that

y ∝ 1∕x

To remove proportional sign we use proportionality constant

y=k/x

Now, cross multiply

k= y×x

k = -2×14

k = -28

y = -28/x

Hence, the equation is y = -28/x .

Learn more about proportionality here:

https://brainly.com/question/8598338

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