To graph the proportional relationship between the number of slices of pizza purchased (x) and the total cost (y), you can start by determining the cost per slice.
Given that 4 slices of pizza cost $6.00, the cost per slice can be calculated as follows:
\[ \text{Cost per slice} = \frac{\text{Total cost}}{\text{Number of slices}} = \frac{6.00}{4} = 1.50 \]
This means that for every slice of pizza purchased, it costs $1.50. Therefore, the total cost y can be expressed as:
\[ y = 1.50x \]
To graph this relationship:
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Create a table of values:
| Slices of Pizza (x) | Total Cost (y) | |----------------------|-----------------| | 0 | 0 | | 1 | 1.50 | | 2 | 3.00 | | 3 | 4.50 | | 4 | 6.00 | | 5 | 7.50 | | 6 | 9.00 |
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Plot the points:
Plot the points from the table on the graph:
- (0, 0)
- (1, 1.5)
- (2, 3.0)
- (3, 4.5)
- (4, 6.0)
- (5, 7.5)
- (6, 9.0)
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Draw the line:
Since this is a linear relationship, you can connect the points with a straight line, starting from the origin (0,0) and extending it through the plotted points to indicate that the relationship continues in both positive directions.
Your graph will show a straight line starting from the origin (0,0) through (4, 6) and will have a slope of 1.50, indicating the cost increases as the number of slices increases.