To determine which graph is the best interpretation of the given table, let's analyze the relationship between the quantity of flowers and their prices.
### Given Data:
| Quantity | Price |
|----------|--------|
| 1 | [tex]$2.00 |
| 2 | $[/tex]3.50 |
| 3 | [tex]$5.00 |
| 4 | $[/tex]6.50 |
| 5 | [tex]$8.00 |
| 6 | $[/tex]9.00 |
### Analyzing the Data:
1. Quantity 1: The price is \[tex]$2.00
2. Quantity 2: The price is \$[/tex]3.50
3. Quantity 3: The price is \[tex]$5.00
4. Quantity 4: The price is \$[/tex]6.50
5. Quantity 5: The price is \[tex]$8.00
6. Quantity 6: The price is \$[/tex]9.00
### Observations:
- As the quantity of flowers increases by 1, the price increases, but not at a constant rate.
- The price increase between consecutive quantities is:
- From 1 to 2 flowers: Increase of \[tex]$1.50
- From 2 to 3 flowers: Increase of \$[/tex]1.50
- From 3 to 4 flowers: Increase of \[tex]$1.50
- From 4 to 5 flowers: Increase of \$[/tex]1.50
- From 5 to 6 flowers: Increase of \[tex]$1.00
### Characteristics of the Graph:
- The graph will have Quantity on the x-axis and Price on the y-axis.
- The points on the graph will be: (1, $[/tex]2.00), (2, [tex]$3.50), (3, $[/tex]5.00), (4, [tex]$6.50), (5, $[/tex]8.00), and (6, $9.00).
- The graph will not be a straight line since the rate of increase of the price is not constant.
By plotting these points, the graph should show a positively increasing slope where the y-values (price) increase as the x-values (quantity) increase. However, the slope will change as indicated by the different intervals.
The correct graph will be the one that passes through all these points accurately, showing the non-linear relationship between the quantity of flowers and their respective prices.
