Question

If y = -3 when x = -4, find x when y = 2 (direct).

a. -2
b. 0
c. 1
d. 4

Answer 1

`(y _(1) )/(x _(1) ) = (y _(2) )/(x _(2)) \\ \\ ( - 3)/( - 4) = (2)/(x _(2)) \\ \\ {x _(2)} = (2 * - 4)/( - 3) \\ \\ {x _(2)} = ( - 8)/( - 3) \\ \\ {x _(2)} = 2 (2)/(3)`

Answer 2

To find the x-value when y = 2 with a direct variation, we first determine the constant of variation using the given point and then use that constant to find the required x-value.

Step-by-step explanation:

The question relates to finding a specific x-value from a direct variation equation given another point and the fact that y = 2 when we need to find x. From the initial condition given, we can write the direct variation equation as y = kx, where k is the constant of variation.

First, let's use the point (-4, -3) to find the constant of variation (k). We plug the values into the equation: -3 = k*(-4). Solving for k gives us k = 3/4.

Now, with the constant of variation found, we use the equation with the second condition: 2 = (3/4)*x. Solving for x gives us x = 2 / (3/4), which simplifies to x = 8/3. This option is not listed among the choices, which suggests there might be a typo or the provided answer choices are incorrect.