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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2 years ago

Show work<br> please! this is due tmr

Varvara68 [4.7K]

Answer:

-120

Step-by-step explanation:

subtract 45 to both sides

m/8 = -15

multiply by 8 on both sides.

with the fraction just multiply by the bottom number to make m by itself.

m = -15*8