Answer:
see explanation
Step-by-step explanation:
(3)
the values of q decrease as the values of p increase.
this indicates an inverse relationship between the quantities, that is
q = [tex]\frac{k}{p}[/tex] ← k is the constant of variation
to find k use any ordered pair from the table.
using q = 16 when p = 3 , then
16 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
48 = k
q = [tex]\frac{48}{p}[/tex] ← equation of variation
(4)
the values of q increase as the values of p increase.
this indicates the quantities are in direct variation, that is
q = kp ← k is the constant of variation.
to find k use any ordered pair from the table.
using q = 2 when p = 6 , then
2 = 6k ( divide both sides by 6 )
[tex]\frac{2}{6}[/tex] = k , that is
k = [tex]\frac{1}{3}[/tex]
q = [tex]\frac{1}{3}[/tex] p ← equation of variation
