Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?

Answer 1

Since y varies directly with x, we can set up the direct variation equation as follows:

y = kx,

where k is the constant of variation. To find the value of k, we can use the given values y = 25 and x = 140:

25 = k(140).

Dividing both sides of the equation by 140, we have:

k = 25/140 = 5/28.

Now we can use the value of k to find the value of x when y = 36:

36 = (5/28)x.

Multiplying both sides of the equation by 28/5, we get:

(28/5) * 36 = x.

Simplifying the equation, we find:

201.6 = x.

Therefore, when y = 36, the value of x is 201.6.