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
To find the value of x when y = 36, we need to use the formula for direct variation:
y = kx
where k is the constant of variation.
To find k, we can use the given information: y = 25 when x = 140
25 = k(140)
To solve for k, we divide both sides of the equation by 140:
k = 25/140
k = 0.17857 (rounded to 5 decimal places)
Now we can use the value of k to find x when y = 36:
36 = 0.17857x
To solve for x, we divide both sides of the equation by 0.17857:
x = 36/0.17857
x ≈ 201.6
Therefore, the value of x when y = 36 is approximately 201.6.