Question

Which equation represents where y varies directly as x, and x = 12 when y 367?

y= (36/12)x
​y=12x
y=(1/12)x
y=12+x

Answer 1

The equation that represents where y varies directly as x, given x = 12 when y = 367, is y = (367/12)x. This equation is derived by first finding the constant of variation and then writing the direct variation equation.

Step-by-step explanation:

The question requires us to find an equation where y varies directly as x, given that when x = 12, y = 367. In a direct variation, the equation takes the form y = kx, where k is the constant of variation.

First, we need to find the value of k using the given values of x and y. Substituting into the direct variation equation, we get 367 = k × 12. Solving for k, we find that k = 367/12.

Now that we have the constant of variation, we can write the equation representing the direct variation: y = (367/12)x. This equation tells us that for every unit increase in x, y will increase by 367/12.