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

176Suppose 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

1 answer

To find the value of x when y = 36, we can use the equation for direct variation: y = kx, where k is the constant of variation.

We are given that y = 25 when x = 140.

To find k, we can use this information: 25 = k(140).

Dividing both sides of the equation by 140, we find:
k = 25/140 = 5/28.

Now we can substitute this value of k into the equation y = kx to find the value of x when y = 36:
36 = (5/28)x.

To solve for x, we can multiply both sides of the equation by 28/5:
x = (36)(28/5) = 201.6.

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