Question

P (n) = 100 - 4n What is the relationship between n, and p(n)?

Answer 1

Assuming `P(n)` and `p(n)` are the same thing;
then the "relationship" is the given equation:
`color(white)("XXX")p(n)=10-4n`

Explanation:

(This answer provided in order to clear this from the active questions).

It might be worth noting that if `n` represents the series `1, 2, 3, 4, ...`
then `p(n)` is an arithmetic squence

but I suspect that the problem is one of not understanding what is meant by a "relationship".

Answer 2

`"linear relationship"`

Explanation:

`"the equation of a straight line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+c`

`"where m represents the slope and c the y-intercept"`

`"compare "p(n)=-4n+100" to this"`

`"the graph is a straight line with slope -4 which means the"`
`"line slopes downwards from left to right"`
`"and crosses the p axis at + 100"` graph{-4x+100 [-320, 320, -160, 160]}