Suppose that y varies inversely with x. Write a function that models the inverse function. x = 25 when y = 5
y varies inversely with x ... x y = k
25 * 5 = 125 ... x y = 125
To write a function that models the inverse variation between y and x, you can use the formula for inverse variation:
y = k / x
In this formula, k is the constant of variation.
To find the value of k, substitute the given values of x and y into the formula and solve for k:
5 = k / 25
To solve for k, multiply both sides of the equation by 25:
125 = k
Now that we know the value of k, we can rewrite the function as:
y = 125 / x
Therefore, the function that models the inverse variation between y and x is y = 125 / x.