Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?
(1 point)
A.) 140
B.) 165
C.) 201.6
D.) 176
The equation for direct variation is y = kx, where k is the constant of variation.
To find the value of k, we can substitute the given values into the equation: 25 = k * 140.
Dividing both sides of the equation by 140, we get: k = 25/140 = 1/5.6.
Now, we can use this value of k to find x when y = 36: 36 = (1/5.6) * x.
To solve for x, we multiply both sides of the equation by 5.6: x = 36 * 5.6 = 201.6.
Therefore, the value of x when y = 36 is 201.6.
C.) 201.6