Answer:
n = 30
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 180 when x = n, then
180 = kn ( divide both sides by n )
k = [tex]\frac{180}{n}[/tex]
y = [tex]\frac{180}{n}[/tex] x ← equation of variation
y = n when x = 5, thus
n = [tex]\frac{180}{n}[/tex] × 5 = [tex]\frac{900}{n}[/tex] ( multiply both sides by n )
n² = 900 ( take the square root of both sides )
n = [tex]\sqrt{900}[/tex] = 30
