monaalvarado69 monaalvarado69
  • 14-12-2020
  • Mathematics
contestada

Algebra 2
S varies inversely as G. If S is 8 when G is 3.5, find S when G is 7.
a) Write the variation.
b) Find S when G is 7.

Respuesta :

absor201
absor201 absor201
  • 14-12-2020

Answer:

a) S varies inversely as G

[tex]S\propto\frac{1}{G}[/tex]

or  [tex]S=\frac{K}{G}[/tex]

b) S=4 when G=7

Step-by-step explanation:

a) Write the variation.

S varies inversely as G

[tex]S\propto\frac{1}{G}[/tex]

So, We can write: [tex]S=\frac{K}{G}[/tex]

Where k is constant of proportionality

b) Find S when G is 7.

Now, if S=8, G = 3.5 we will find K

[tex]S=\frac{K}{G}\\K=SG\\K=8\times 3.5\\K=28[/tex]

So, value of K= 28

Now, find S when G is 7

[tex]S=\frac{K}{G}\\S=\frac{28}{7}\\S=4[/tex]

So, S=4 when G=7

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