In the context of the problem, the ordered pair (1,5) indicates that one book costs 5 dollars.
When interpreting a graph that represents a proportional relationship between two variables, the ordered pair (x, y) can be understood as follows:
1. Identify the Axes: Determine what each axis represents. In the context of the problem, the x-axis typically represents the independent variable (the number of books), and the y-axis represents the dependent variable (the cost in dollars).
2. Ordered Pair: An ordered pair (x, y) represents a point on the graph where x is the value from the x-axis, and y is the value from the y-axis.
3. Interpreting the Ordered Pair (1,5):
- The first number in the pair, 1, corresponds to the x-axis, which in this case represents the number of books.
- The second number, 5, corresponds to the y-axis, which represents the cost in dollars.
4. Contextual Meaning: In the context of the problem, the ordered pair (1,5) would represent the situation where purchasing 1 book costs $5.
5. Proportional Relationship: Since the graph represents a proportional relationship, this implies that for every book purchased, the cost increases by a constant rate. The ordered pair (1,5) shows the starting point of this relationship.