Question

Calculate the rate of change for each table and determine if the table is proportional

Answer 1

9514 1404 393

Answer:

tables A, B, E are proportional relationships

Explanation:

Finding the rate of change involves finding the ratio of the difference of adjacent y-values to the difference of adjacent x-values. For this many tables and points, I find that to be exceptionally tedious, so I let a spreadsheet do the work.

For the four points, there are three ratios. In the attachment, each ratio is between the point on the same line and the point on the next line. Two conditions are required for the table to be proportional:

1. the rates of change must all be the same
2. the rate of change must be equal to the ratio of y to x

The green color identifies tables that are proportional.