Suppose that x and y vary inversely and that y=1/6 when x = 3. Write a function that models the inverse variation and find y when x = 10.

Question

Suppose that x  and y vary inversely and that y=1/6 when x = 3. Write a function that models the inverse variation and find y when x = 10.

drwls · Answer

y = C/x Solve for C with the given information. 1/6 = C/3 C = 1/2 y = 1/(2x) If x = 10, y = 1/20