Question

S varies inversely as G. If S is 7 when G is 1.8, find S when G is 3.

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given that S varies inversely as G then the equation relating them is

S = $\frac{k}{G}$ ← k is the constant of variation

To find k use the condition S = 7 when G = 1.8, then

k = SG = 7 × 1.8 = 12.6

S = $\frac{12.6}{G}$ ← equation of variation

When G = 3, then

S = $\frac{12.6}{3}$ = 4.2

Answer 2

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