Question 254340
Hi, we can create a table based on the information as
Time ( hours=x) . . . 4 . . . . . . . .  5 . . .. . . . ..  6 . . . .. . . . .  7
Distance(miles=y) 184  . . . .. . . .460 . . . . . . 828 . . .. . . . . 1288
We are looking for a way to get a direct variation model. We need a thing called slope. The equation for that is
{{{m = (y2-y1)/(x2-x1)}}}
We take our first two point and find the slope as
{{{m = (460-184)/(5-4)}}} => m = 276
We take the second pair and do the same thing:
{{{m = (828-460)/(6-5)}}} => m = 368
We take the third pair and do the same thing:
{{{m = (1288-828)/(7-6)}}} => m = 460.
SInce these numbers are not ALL the same, this is not direct variation.