I usually don't do this but i really need help with this biology question?

Question

A population of a plant species in a meadow consists of plants the produce red, yellow, white, pink, or purple
flowers. Hypothesize what the inheritance pattern is.

Answer 1

I'll assume the typical student does not know the various floral pigment genes,
their relative dom/rec,
biosynthetic pathways,
and intracellular location in a particular plant species.
Flavinoids: Purples, blues, burgundy
Carotinoids: Yellow, orange, and some reds

However most learned about Mendel's experiment.

You did not say what the ratio of each are?
Or if there were any other intermediate shades.
This would help.
I'll assume you were not given this info.
We'll try to solve anyway.

White is interesting,
no pigment albino
or pigment inhibitors
or they emit white light
can be the result of several genetic factors,
can be dom or rec.

For the sake of discusion and using Mendel's exp.
We will assume it is not a strong dom. pigment in itself,
but partially to fully inhibits carotinoid pigments.

Yellow is not a strong dom,
and will get suppressed or masked by darker pigments.

One explaination for a student would be:

Purple=a pure line, strong dom, PP; also PR, PW, PY

Red=a pure line, semi dom, RR, also RY
White=a pure line, semi or weak dom, inhibitor, WW
Pink=a Red+White hybrid, RW,
red is incomplete dom, white partial suppression
Yellow=a pure line, weak dom, YY, possibly YW

Answer 2

I think you could make several arguments for inheritance patterns.

It's possible that the color is governed by one gene that has multiple alleles. Some of the alleles may exhibit incomplete dominance while others may exhibit simple dominance.

Blood type works that way - 3 alleles, two of which are codominant and one of which is recessive.

I don't think it's polygenic because that inheritance pattern gives more of a smooth range of phenotypes rather than five distinct phenotypes.