Question

In an inverse variation, x = -24 when y = 1/8. What is the value of y when x = 6?

a) y = -1/4
b) y = -2
c) y = 4
d) y = 3/4

Answer 1

After calculating using the given inverse variation, none of the provided answer choices match the calculated value of y, which is -1/2.

Step-by-step explanation:

In an inverse variation, the product of the two variables, x and y, is constant. Given that x = -24 when y = 1/8, we can find the constant of variation by multiplying these two values:

-24 * 1/8 = -3

Therefore, the constant of variation is -3. To find the value of y when x = 6, we set up the equation:

xy = -3

6y = -3

Divide both sides by 6 to isolate y:

y = -3 / 6

y = -1/2

However, this answer is not found in the provided options. There might be a mistake either in the question, the options, or in our calculation. Please review the details again to ensure the correct information is provided.