Find the relation between #x# and #y#, if #y# takes values #{29,35,41,47,.......}#, when #x# takes values #{4,5,6,7,.....)#?

1 Answer
Apr 6, 2017

Function is a linear one and #y=6x+5#

Explanation:

Observing given numbers, #x# takes values #{4,5,6,7,.....)#, starting from #4# it continues to increase by #1#.

However, #y# takes values #{29,35,41,47.}# and starting from #29# it continues to increase each time by #6#.

As while #x# increases by #1#, #y# increases by #6#,

the relation is of the type #y=6x+k#, a linear function.

For finding #k#, as #y# is #29#, when #x# is #4#, we have

#29=6xx4+k#

or #29=24+k#

or #k=29-24=5#

Hence function is a linear one and #y=6x+5#