Question

If y varies inversely as x and y= 3.75 when x = 4, what would y be if x = 6?

Answer 1

To find the value of y when x equals 6 in an inverse variation, we can use the given information and set up a proportion between y1, x1, y2, and x2.

Step-by-step explanation:

To find the value of y when x equals 6, we can use the fact that y varies inversely as x.

This means that as x increases, y decreases, and vice versa. Since y = 3.75 when x = 4, we can set up a proportion:

y1 / x1 = y2 / x2

Substituting the given values, we get:

3.75 / 4 = y2 / 6

Cross multiplying, we have:

6 * 3.75 = 4 * y2

Dividing both sides by 4, we find that y2 = 5.625.