Answer:
x = 25
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 15
3 = 15k ( divide both sides by 15 )
[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x ← equation of variation
When y = 5 , then
5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )
25 = x
