If y varies inversely as x? and y = 37 when x = 17, find yif = 12. (Round off your answer to the nearest hundredth.)
The inverse variation equation can be written as y = k/x, where k is a constant.
To find the value of k, we can use the given information that y = 37 when x = 17. Substituting these values into the equation, we get:
37 = k/17
To solve for k, we can multiply both sides of the equation by 17:
37 * 17 = k
629 = k
Now we have the value of k, and we can use it to find y when x = 12:
y = k/x
y = 629/12
y ≈ 52.42
Rounded to the nearest hundredth, y ≈ 52.42.