Answer:
see explanation
Step-by-step explanation:
(a)
given y varies inversely as x² then the equation relating them is
y = ← k is the constant of variation
to find k substitute any ordered pair from the table into the equation
using (2, 4 ) , then
4 = = ( multiply both sides by 4 )
16 = k
y = ← equation of variation
(b)
when y = 25 , then
25 = ( multiply both sides by x² )
25x² = 16 ( divide both sides by 25 )
x² = ( take the square root of both sides )
x = ± = ±
the positive value of x is x =