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If "a" varies directly as "b" when a=-3, b=-4, find "a" when b=2.
A) 12
B) 3/2
C) 8/3
D) 4/3



Sagot :

Answer:

B

Step-by-step explanation:

-3 : -4 = a : 2

-4(a) = -3(2)

a = -6/-4

a = 3/2

SOLUTION

First find the value of the constant term

[tex] \tt{a = kb} \\ \tt-3 = k(-4) \\ \tt\frac{ - 3}{ - 4} = k \\ \ \tt\frac{3}{4} = k[/tex]

Then, Substituting again the values to get the value of a

[tex] \tt{a = kb} \\ \tt{a} = \tt\frac{3}{4} (2) \\ \tt a = \frac{3}{2} [/tex]

ANSWER

[tex] \large\tt{ \blue{OPTION \: B} \: (3/2)}[/tex]

[tex] \overbrace{ \underbrace{ \tt{} \purple{ \: \: Stay \: safe \: and \: God \: bless \: you! \: \: }}}[/tex]