Question

Suppose that y varies directly with x, and y = 10 when x = 25.
(a) Write a direct variation equation that relates x and y.

Equation:

(b) Find y when x = 6.

y =

Answer 1

Answer:

Equation: y = 0.4x

y = 2.4

Step-by-step explanation:

Use the direct variation equation, y = kx, where k is a constant

Plug in x and y:

y = kx

10 = k(25)

Solve for k:

0.4 = k

So, the equation is y = 0.4x

Then, use this equation to find y when x = 6:

y = 0.4x

y = 0.4(6)

y = 2.4