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Suppose that x and y vary inversely, and x = 2 when y = 7. Write the function that models the inverse variation.

2 Answers

4 votes
The answer to the question is letter B. y=14/x
User Cairnarvon
by
8.6k points
2 votes
Since, in this case, we have 4 options then you just need to substitute each number.
A. y = 5/x
B. y = 14/x
C. y = 9/x
D. y = 3.5x

We know that x= 2 when y=7. So...
A. y = 5/x
7=5/2
7=2.5
This is false.

B. y = 14/x
7= 14/2
7=7
This is right, So True.

C. y = 9/x
7=9/2
7=4.5
False

D. y = 3.5x 7=3.5(2)
7=7
This one is also true.

In this case we look for definition.

he statement " y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant:
xy = k

where k is the constant of variation.

We can also express the relationship between x and y as:

y = k/x

where k is the constant of variation.

User Jeff Learman
by
8.0k points

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