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alexdok [17]
2 years ago
5

Find the constant of variation k for the direct variation. Then write an equation for the inverse variation. Y= 4.5 when x= 3

Mathematics
1 answer:
xeze [42]2 years ago
5 0

The constant for variation is k = 3/2 and the equation for the inverse is y = 2/3x

In order to find this, we need to start with the base equation for direct variation. We can then plug in the values and solve for k.

y = kx

4.5 = k(3)

1.5 = k

Now we can model the equation as y = 3/2x. We can then find the inverse by switching the x and y and solving for the new y.

y = 3/2x ----> Switch

x = 3/2y -----> Multiply by 2/3

2/3x = y

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nikitadnepr [17]

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Step-by-step explanation:

Data

Equation 1     x - 4y = -17

Equation 2    y = 4x + 8

Solve for y

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Equation 2         y = 4x + 8

See the graph below

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