Answer:
The direct variation equation is y = 6x
Step-by-step explanation:
The direct variation equation is y = kx, where
- k is the constant of variation
To find the value of k, use the initial values of x and y
∵ y = 5, y = 30
∵ y = k x
→ Substitute the values of x and y to find k
∵ x = 5 and y = 30
∴ 30 = k (5)
∴ 30 = 5k
→ Divide both sides by 5
∴ [tex]\frac{30}{5}=\frac{5k}{5}[/tex]
∴ 6 = k
→ Substitute it in the form of the equation
∴ y = 6x
The direct variation equation is y = 6x
