Final answer:
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.