Answer:
c
Step-by-step explanation:
Given that 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 = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c