Final answer:
To solve the problem, we first determine the constant of variation k using the given values (y = 198 when x = 22), which results in y = 9x. Then we find y when x = 182, resulting in y = 1638.
Step-by-step explanation:
If y varies directly as x, it means that y = kx, where k is the constant of variation. We can find the value of k by using the given values of x and y. Since y = 198 when x = 22, we can substitute these values into the equation to get 198 = k(22), which simplifies to k = 9. Therefore, the equation relating y and x is y = 9x.
To find the value of y when x = 182, we substitute x with 182 into the direct variation equation: y = 9(182). Thus, y = 1638. Therefore, y equals 1638 when x equals 182.