Question

If y =27 when x=9, determine y when x=11

Answer 1

`The \: problem \: probably \\ \: assumes \: direct \: variation \: \\ \\ </p><p></p><p></p><p>y \: = \: k \: x \\ \\ </p><p></p><p></p><p>IF \: so, \: then \: plug \: in \: the \: \\ values \: and solve \: for \: k \\ \\ </p><p></p><p></p><p>27 \: = \: k(8) \\ \\ </p><p></p><p>k \: = \: (27)/(8) </p><p> \\ \\ </p><p></p><p>y \: = \: ( (27)/(8) )x. \\ \\ Now \: let \: x \: = \: 11 \\ \\ </p><p></p><p></p><p>y \: = \: ( (27)/(8) )11 = \\ \\ (27(11))/(8) \\ \\ = 37.125 = \\ \\ (371)/(8y) \\ \\ </p><p></p><p></p><p>y \: = (371)/(8) </p><p></p><p>`

Answer 2

The answer is y=33 I think