Question

PLEASE HELP ME Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 17. Four points are shown on the graph on ordered pairs 0, 4 and 2, 8 and 3, 12 and 4, 16. These points are joined by a line. The label on the x-axis is Number of boats. The title on the y-axis is Number of passengers.

Answer 1

No, the graph does not represent a proportional relationship

Explanation:

The equation that models a proportional relation is
`y=kx`, where k is the constant of proportionality.

Based on your description, we have:

x y

0 4

2 8

3 12

4 16

The graph of a proportional relation will always pass through the origin i.e the initial value is always zero.

The equation of this graph is not in the form y=kx.

Hence, the graph does not represent a proportional relationship because there is an initial value which is not zero.