Solve the constant of variation (k) in the given statement.

1. If j varies inversely as h, find k when j =4 and h=3.

2. If x is inversely proportional to y, x=7 and y=8. Find k.

3. If s varies indirectly to t, s=11 and t=3. Find k.

4. Supposed x varies inversely as y, Find k when x is -5 and y is 7.

5. Supposed y varies inversely as z,Find k when y is 4 and y is 13.

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Answer:

1. If j varies inversely as h, find k when j =4 and h=3.

j = k/h

4 = k/3

k = (4)(3)

k = 12

2. If x is inversely proportional to y, x=7 and y=8. Find k.

x = k/ y

7 = k/8

k = (7)(8)

k = 56

3. If s varies indirectly to t, s=11 and t=3. Find k.

s = k/t

11 = k/3

k = (11)(3)

k = 33

4. Supposed x varies inversely as y, Find k when x is -5 and y is 7.

x = k/y

-5 = k/7

k = (-5)(7)

k = -35

5. Supposed y varies inversely as z,Find k when y is 4 and y is 13.

y = k/z

4 = k/13

k = (4)(13)

k = 52