Question

Given the following values (x= 4/5, y = 9), create an inverse variation equation using the equation y=k/x.

A) y = (9/4) x
B) y = (5/9) x
C) y = 9x
D) y = (4/5) x

Answer 1

To find the inverse variation equation, substitute the given values into the equation y = k/x and solve for k, giving y = (36/5x). Therefore, the correct answer is option A) y = (9/4) x.

Step-by-step explanation:

An inverse variation equation can be written in the form of y = k/x, where k is a constant.

To find the value of k, we can substitute the given values (x = 4/5, y = 9) into the equation:

9 = k / (4/5)

Multiplying both sides of the equation by 4/5, we get:

9 * (4/5) = k

Simplifying the expression, we find that k = 36/5.

Therefore, the inverse variation equation is y = (36/5) / x, which simplifies to y = (36/5x).

So, option A) y = (9/4) x is the correct answer.