Answer:
(6, 2.5 )
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k substitute the coordinate point (5, 3 ) into the equation, that is
3 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )
15 = k
y = [tex]\frac{15}{x}[/tex] ← equation of variation
Using (x, 2.5 ) with y = 2.5 , then
2.5 = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )
2.5x = 15 ( divide both sides by 2.5 )
x = 6
Thus point is (6, 2.5 )
