Answered

1. Solve for the constant of variation.
Show your complete solution at the back
page of your paper.
1. If a varies directly as b and a = 36
when b=3.
2. If m varies inversely as n and m = 10
when n = 14.
3. If y varies jointly as x and z, and
y= 144 when x=6 and 2 = 4.
4. If P varies directly as T and inversely
as V, and P= 36 when T = 12 and V = 5.
5. If g varies directly as m and g = 63
when m = 9.​

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Answer:

  1. k = 12
  2. k = 140
  3. k = 6
  4. k = 15
  5. k = 7

Step-by-step explanation:

1.

[tex]a = kb[/tex]

= 36 = 3k

= 36/3 = k

= k = 12

2.

[tex]m = \frac{k}{n} [/tex]

= 10 = k/14

= 10 (14) = k

= k = 140

3.

[tex]y = kxz[/tex]

= 144 = k (6)(4)

= 144 = 24k

= 144/24 = k

= k = 6

4.

[tex]p = \frac{kt}{v} [/tex]

= 36 = 12k/5

= 36(5) = 12k

= 180/12 = k

= k = 15

5.

[tex]g = km[/tex]

= 63 = 9k

= 63/9 = k

= k = 7

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