suppose y varies directly with x and y= 25 when x=140 what is the value of x when y=36

Answer 1

To find the value of x when y = 36, we can use the formula for direct variation:

y = kx

where k is the constant of variation. We can solve for k using the given initial condition:

25 = k(140)

Dividing both sides by 140:

k = 25/140

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

36 = (25/140)x

Multiplying both sides by 140/25:

x = (140/25)(36)

x = 8 * 36

x = 288

Therefore, the value of x when y = 36 is 288.