Question

if y varies inversely as x and y = 194 when x = -13, find y when x = 50. Round your answer to the nearest hundredth, if necessary.

Answer 1

Explanation:

Since, y varies inversely as x.

`\therefore \: y = (k)/(x) \\ (k = constant \: of \: proportionality) \\ \therefore \: xy = k...(1) \\ plug \: y = 194 \: \: and \: \: x = - 13 \: in \: (1) \\ \therefore \: - 13 * 194= k \\ \therefore \: k = - 2522 \\ substituting \: k = - 2522 \: in \: (1) \\ xy = - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 * y = - 2522 \\ \therefore \:y = ( - 2522)/(50) \\ \huge \red{ \boxed{\therefore \:y = - 50.44}}`