Question

Explain how you can use a table of values, an equation , and a graph to determine whether a function represents a proportional relationship.

Answer 1

A proportional relationship is a relationship between two equal ratios. So using a graph and an x/y table would be very useful in figuring that out because it describes the difference between x and y.

Answer 2

Proportional relationships are used to relate variables that have equivalent ratios.

Using tables

Assume the variables are x and y.

To make use of tables, then the values of x and y must change at a constant rate.

Take for instance, the following table of values

x: 1, 2, 3

y: 2, 4, 6

Notice that, as x increases by 1; y increases by 2.

Such relationship is a proportional relationship

Using equations

A proportional relationship is represented by the following equation

$\mathbf{y = kx}$

Where k represents the proportionality constant, and k is not equal to 0

An example of such equation is $\mathbf{y = 2x}$

Using graphs

The graph of a proportional relationship is simply a straight line that passes through the origin, and does not have an undefined slope or a slope of 0

See attachment for a graph that represents a proportional relationship.

Read more about proportional relationships at:

https://brainly.com/question/24312388