Question

Suppose that y varies directly with x, and y=4 when x = 10.

(a) Write a direct variation equation that relates and y Equation: y =​

Answer 1

y = 0.4x

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 = 4 when x = 10 , then

4 = 10k ( divide both sides by 10 )

`(4)/(10)` = k , that is

k = 0.4

y = 0.4x ← equation of variation