Answer:
x = 9.6
Step-by-step explanation:
Given that x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 4 when y = 15
k = [tex]\frac{x}{y}[/tex] = [tex]\frac{4}{15}[/tex]
x = [tex]\frac{4}{15}[/tex] y ← equation of variation
When y = 36, then
x = [tex]\frac{4}{15}[/tex] × 36 = [tex]\frac{144}{15}[/tex] = 9.6
