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S varies inversely as G. If S is 7 when G is 1.8, find S when G is 3.
a) Write the variation.
b) Find S when G is 3.
a) How are these two variables related?

O.A. S = KG
O B. S=kG^2

O C. S=k/G^2
OD. S=k/G

b) The quantity indicated is
(Type an integer or a decimal.)

i need this answered asap!! pls help!!

Respuesta :

bayosanuade

Answer: (a) S = K/G

               (b) 4. 2     ( a decimal)

Step-by-step explanation: From the statement , it means

S ∝ 1/G

Introducing the proportionality constant

⇒ S = K/G

Given : S = 7 when G = 1.8

Substitute the given values into the equation

i.e  7 = K/ 1.8

Which means

     K = 1.8 x 7

      K = 12. 6

Substitute  the value of K into the equation

i.e S = 12.6/ G

(b) To find S when G =3 , you will need to substitute G = 3 into the equation

i.e S = 12.6/ 3

    S = 4.2  

The correct answer is (d) S = K/G and the value of S when G = 3 is 4.2

Given that, S varies inversely as G.

 S ∝ 1 / G

 S = K / G , here K is constant of proportionality

When G = 1.8 then S = 7, putting these values in the above equation:

  7 = K / 1.8

 K = 12.6

⇒ S = 12.6 / G

Now, if G =3 then

   S = 12.6 / 3 = 4.2 is the answer.

Learn more about proportionality:

https://brainly.com/question/17505057

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