Question

Determine whether or not the the following graphs represent two qualities that are proportional to each other Explain your reasoning

Answer 1

Proportional Relationships

Two quantities are proportional if one of them is obtained by multiplying the other by a constant number called the constant of proportionality (k).

It can be expressed as:

`y=k\cdot x`

The equation above is the equation of a line and it has one special feature: it must pass across the origin (0,0). You can recognize if a graph represents a proportion if:

* The graph is a line

* It passes through the origin

Only one of the given graphs fulfills both conditions, Graph a.