Question

The variable z varies jointly with x and y. Also, z = -75 when x = 3 and y = -5.

What equation describes this variation?

x = kyz
y = kxz
z = kxy
k = xyz

Answer 1

C.

5

-10

NEXT SLIDE:

3/8

3/40

NEXT SLIDE:

A.

7

42

NEXT SLIDE:

D.

6

NEXT SLIDE:

B.

10

LAST SLIDE:

A.

D.

Explanation:

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Answer 2

What equation describes this variation?

z = kxy

What is the constant of variation?

k = 5

When x = 1 and y = –2, z =

-10

Step by Step Explanation:

With the equation z = kxy and the values for z, x, and y, we can find k.

z = kxy

-75 = (k) (3) (-5)

-75 = (k) (-15)

5 = k

k = 5 (final answer).

To check our work, we just enter all of the values and make sure it adds up.

z = kxy

-75 = (5)(3)(-5)

-75 = 15(-5)

-75 = -75

correct!

Do the same to find the answer for the next part to get -10.

Further proof in the file attached.