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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Find the constant of variation for the relation and use it to write an equation for-example-1
User Roosevelt
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2 Answers

3 votes

Answer:

Choice C is the answer.

Explanation:

We have given that

If y varies inversely as the square of x

y ∝ 1/x²

y = k/x² eq(1)

where k is constant of variation.

As given that y = 7/4 when x = 1

7/4 = k/(1)²

7/4 = k/(1)

7/4 = k

Putting the value of k in eq(1), we have

y = 7/4x²

Now, we have to find the value of y when x = 3

y = 7/4(3)²

y = 7/4(9)

y = 7/36

Choice C is the answer.

User Vasilis Lourdas
by
7.8k points
1 vote

Answer: option c

Explanation:

Based on the information given, you can write the following expression:


y=(k)/(x^2)

Where k is the the constant of variation

If y=7/4 when x=1, then you can substitute these values into the expression and solve for k:


(7)/(4)=(k)/(1^2)\\k=1*(7)/(4)\\k=(7)/(4)

Substitute k into the expression. Then the equation is:


y=(7)/(4x^(2))

Substitute x=3 into the equation. Then, y is:


y=(7)/(4(3)^(2))=(7)/(36)}

User Jerrytouille
by
8.2k points

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