suppose y varies directly with x, and y = 25 when x = 140. what is the value when y = 36
To determine the value of x when y = 36, you can use the formula for direct variation:
y = kx
where k represents the constant of variation. Since y = 25 when x = 140, we can substitute these values into the equation:
25 = k * 140
To find the value of k, divide both sides of the equation by 140:
k = 25/140
k = 0.17857142857 (rounded to 11 decimal places)
Now that we have the value of k, we can use it to find x when y = 36:
36 = 0.17857142857 * x
To isolate x, divide both sides of the equation by 0.17857142857:
x = 36 / 0.17857142857
x ≈ 201.6
Therefore, when y = 36, x is approximately 201.6.