"Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?"
To solve this problem, we need to use the formula for direct variation, which is:
y = kx
where k is the constant of variation.
We have the values y = 25 and x = 140 when y varies directly with x. Using these values, we can find the value of k:
25 = k * 140
To solve for k, divide both sides of the equation by 140:
k = 25 / 140
k = 0.1786
Now that we have the value of k, we can use it to find the value of x when y = 36:
36 = 0.1786 * x
To solve for x, divide both sides of the equation by 0.1786:
x = 36 / 0.1786
x ≈ 201.345
Therefore, when y = 36, the value of x is approximately 201.345.