Question

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



If y varies inversely as the square of x, and y=4/63 when x=3, find y when x=5

Answer 1

Equation is x= yd

We need to find out d, so d is 3 divided by 4/63

So d is 47.25

So the general equation is now x= y multiplied by 47.25

If x is 5 then you would do

5= y multiplied by 47.25

Now, to find out y, you would do opposite operation and divide 47.25 by 5

Which is 9.45

Answer 2

The relation is y = 4/7x² and the value of y is 4/175 if the x = 5 and c = 4/7

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

y ∝ 1/x²

y = c/x²

If y = 4/63 and x = 3

Plug these values:

4/63 = c/9

c = 4/7

Plug this in y = c/x²

y = 4/7x²

Plug x = 5

y = 4/175

Thus, the relation is y = 4/7x² and the value of y is 4/175 if the x = 5 and c = 4/7

Learn more about the proportional here:

brainly.com/question/14263719

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