Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?
Responses
140
165
201.6
176
To find the value of x when y = 36, we can set up a proportion using the given information:
y = kx
We are given that when x = 140, y = 25. So, we can write:
25 = k(140)
To find the value of k, we can divide both sides of the equation by 140:
25/140 = k
Simplifying the fraction gives:
1/5.6 = k
Now we can use this value of k in the proportion to find x when y = 36:
36 = (1/5.6)x
To solve for x, we can multiply both sides of the equation by 5.6:
5.6 * 36 = x
Simplifying the equation gives:
x = 201.6
Therefore, the value of x when y = 36 is 201.6. The answer is option 3.