Answer:
The graph shows the proportional relationship between total spent and number of months
A proportional relationship has the following characteristics
In a proportional relationship, the ratio of the 'x' and 'y' values is constant for all data pairs
The rate of change between the two quantities in a proportional relationship is constant
The graph of a directly proportional relationship passes through the origin
Therefore, the significance of the given points are;
1. The point (1, 5) is the first point that indicates the proportional relationship between the 'x' and 'y' values and from which the the constant of proportionality, k = y/x can be found as follows;
When x = 1 month, and y = $ 5, for the proportional relationship, we have;
k = y/x = $ 5/(1 month) = 5 $/month
2. The point (0, 0) is the starting point of the relationship and indicates that the graph of the 'x', and 'y', values passes through the origin and the relationship between the ;x;, and ;y;, values is a directly proportional relationship
3. The point (4, 20) which is the limiting point or the point with the highest 'y' value gives;
1) The total payment after 5 months
2) it can be used to draw the graph of the straight line relationship
3) Provides verification of the constant of proportionality
Step-by-step explanation:
