Answer:
x = 60, y = 12
Step-by-step explanation:
Given that x and y vary inversely then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the ordered pair (180, 3 ) , then
3 = [tex]\frac{k}{180}[/tex] ( multiply both sides by 180 )
540 = k
y = [tex]\frac{540}{x}[/tex] ← equation of variation
When y = 9, then
9 = [tex]\frac{540}{x}[/tex] ( multiply both sides by x )
9x = 540 ( divide both sides by 9 )
x = 60
When x = 45, then
y = [tex]\frac{540}{45}[/tex] = 12
