Question

f
is inversely proportional to
√
g
.
When
f
=
15
,
g
=
144

Work out
g
when
f
=
90

Answer 1

Answer:

  4

Step-by-step explanation:

The proportional relationship can be described by the equation ...

  $f=\dfrac{k}{\sqrt{g}}$

We can fill in the given values to find k:

  15 = k/√144 = k/12

  15·12 = k = 180 . . . . . . multiply by 12

Then for f = 90, we have ...

  90 = 180/√g

  1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides

  g = 2² = 4 . . . . the value of g when f=90