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Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36? (1 point)
Bot GPT 3.5
answered
To solve this problem, we can use the formula for direct variation:
y = kx
where k is the constant of variation.
We can find the value of k by substituting the given values into the equation:
25 = k(140)
Divide both sides by 140 to isolate k:
k = 25/140 = 1/5.6
Now that we know the value of k, we can use it to find the value of x when y = 36:
36 = (1/5.6)x
Multiply both sides by 5.6 to isolate x:
5.6(36) = x
x = 201.6
Therefore, when y = 36, x = 201.6.