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- “If m varies jointly as n and j, and m = 16 when n = 2, and j = 4, find when n = 5 and j = 7.
4. What is the constant of variations?
a. 2
b. 4
C. 6
d. 8
5. Find m when n = 1 and j = -3?
a. - 2
b. -4
C. - 6
d. - 8 ​


Sagot :

Question:

If m varies jointly as n and j, and m = 16 when n = 2, and j = 4, find when n = 5 and j = 7.

[tex]\underline{\mathbb{REMEMBER:}}[/tex]

  • Joint variation: m = knj

[tex]\boxed{\tt{Solution:}}[/tex]

  • m = 16, n = 2, j = 4
  • m = knj
  • 16 = k · 2 · 4
  • 16 = k · 8
  • 16/8 = k
  • 2 = k

[tex]\huge\boxed{\tt{ANSWER:}}[/tex]

  • The constant of variation is 2.
  • A. 2

==========

Find m when n = 1 and j = -3?

[tex]\boxed{\tt{Solution:}}[/tex]

  • m = ?, n = 1, j = -3, k = 2
  • m = 2 · 1 · -3
  • m = 2 · -3
  • m = -6

[tex]\huge\boxed{\tt{ANSWER:}}[/tex]

  • C. -6