Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36? (1 point) Responses 140 140 165 165 201.6 201.6 176
The value of x when y = 36 can be found using the direct variation formula.
Since y varies directly with x, we can write an equation: y = kx, where k is the constant of variation.
To find k, we can use the given values: y = 25 when x = 140.
Plugging these values into the equation gives us: 25 = k(140).
Solving for k, we divide both sides by 140: k = 25/140 = 0.17857 (approx).
Now we can find the value of x when y = 36.
Plugging the new values into the equation gives us: 36 = 0.17857x.
Solving for x, we divide both sides by 0.17857: x ≈ 201.6.
Therefore, when y = 36, the value of x is approximately 201.6.
The correct answer is 201.6.