Question

S varies inversely as G. If S is 9 when G is 1.2 find S when G is 2

Answer 1

So, when G is 2, S is 5.4 in this inverse variation.

Explanation:

To find the value of S when G is 2 in an inverse variation, you can use the following formula:

S1 * G1 = S2 * G2

Where:

S1 = Initial value of S (9)

G1 = Initial value of G (1.2)

S2 = Unknown value of S when G is 2

G2 = New value of G (2)

Now, plug in the values:

9 * 1.2 = S2 * 2

Now, solve for S2:

(9 * 1.2) / 2 = S2

10.8 / 2 = S2

5.4 = S2

So, when G is 2, S is 5.4 in this inverse variation.

Answer 2

S = 5.4

Explanation:

given S varies inversely as G, then the equation relating them is

S =
`(k)/(G)` ← k is the constant of variation

to find k , substitute S = 9 when G = 1.2 into the equation

9 =
`(k)/(1.2)` ( multiply both sides by 1.2 )

9 × 1.2 = k , that is

k = 10.8

S =
`(10.8)/(G)` ← equation of variation

when G = 2 , then

S =
`(10.8)/(2)` = 5.4