Maryjoypelotoviz
Answered


17. M varies jointly as S and T. If M = 50, when S = 5 and T = 2, find M when S = 3 and T =
1.
a. M = 5
b. M = 10
c. M = 15
d. M = 60​

Sagot :

JindyWinterviz

Answer:

C. M = 15

Step-by-step explanation:

M varies jointly as S and T. If M = 50, when S = 5 and T = 2, find M when S = 3 and T =

1.

m = kst

50 = k • 5 • 2

50 = k • 10

50/10 = k

5 = k

-----

m = ?, s = 3, t = 1

m = 5st

m = 5 • 3 • 1

m = 15 • 1

m = 15

Hanimeyaviz

✒ JOINT VARIATION

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\sf\underline{Problem:}[/tex]

  • M varies jointly as S and T. If M = 50, when S = 5 and T = 2, find M when S = 3 and T = 1.

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\sf\underline{Answer:}[/tex]

[tex]\large\tt\purple{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: M = 15}[/tex]

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\sf\underline{Solution:}[/tex]

  • m = kst
  • 50 = k • 5 • 2
  • 50 = k • 10
  • 50/10 = k
  • 5 = k

_____

  • m = 5st
  • m = 5 • 3 • 1
  • m = 5 • 3
  • m = 15

[tex]\because[/tex] m = 15 when S = 3 and T = 1.

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

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