Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?
(1 point)
140
165
201.6
176
We can set up a proportion to solve for x. Since y varies directly with x, we have the equation:
y = kx
where k is the constant of variation.
To find the value of k, we can use the given information: y = 25 when x = 140. Plugging these values into the equation, we have:
25 = k * 140
Solving for k, we find that k = 25/140 = 5/28.
Now we can use this value of k to find the value of x when y = 36:
36 = (5/28) * x
Multiplying both sides by 28/5, we have:
x = 36 * (28/5) = 201.6
Therefore, the value of x when y = 36 is 201.6.