Question

Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.