Answer:
y = [tex]\frac{10}{3}[/tex]
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 = 10 when x = - 3, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{-3}[/tex] = - [tex]\frac{10}{3}[/tex]
y = - [tex]\frac{10}{3}[/tex] x ← equation of variation
When x = - 1, then
y = - [tex]\frac{10}{3}[/tex] × - 1 = [tex]\frac{10}{3}[/tex]
