If y varies inversely as x and 𝑦=40 when 𝑥=25, find y when 𝑥=16. If y varies inversely as x and 𝑦=40 when 𝑥=25, find y when 𝑥=16.

Answer 1

y = k/x if y varies inversely with x. (k is a constant).

Can find value of k by substituting given values for x and y.

40 = k/25, so k = 1000

y = 1000/x

If x = 16, y = 1000/16 = 62.5

See graph (hyperbola) on Desmos Graphing Calculator

Second set of values works the same way.