Question

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

Answer 1

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`