1. The problem asks to verify if the graph correctly represents the relationship between the total cost and the number of hamburgers. 2. The equation given is $\text{Total Cost} = 2.50 \times h$, where $h$ is the number of hamburgers. 3. This means for each hamburger, the cost increases by 2.50. 4. Let's calculate the total cost for the first six hamburgers: $$ \begin{aligned} &h=0, \quad \text{Total Cost} = 2.50 \times 0 = 0 \\ &h=1, \quad \text{Total Cost} = 2.50 \times 1 = 2.50 \\ &h=2, \quad \text{Total Cost} = 2.50 \times 2 = 5.00 \\ &h=3, \quad \text{Total Cost} = 2.50 \times 3 = 7.50 \\ &h=4, \quad \text{Total Cost} = 2.50 \times 4 = 10.00 \\ &h=5, \quad \text{Total Cost} = 2.50 \times 5 = 12.50 \\ &h=6, \quad \text{Total Cost} = 2.50 \times 6 = 15.00 \end{aligned} $$ 5. The graph shows the x-axis labeled "No. of Hamburgers" from 0 to 10 and the y-axis labeled "Total Cost" from 2 to 16. 6. The points plotted correspond to the total cost values calculated above, showing an increasing linear trend. 7. Since the points and line on the graph match the calculated values from the equation, the graph is correct. **Final answer:** Yes, the graph correctly represents the relationship $\text{Total Cost} = 2.50 \times h$ for the first six hamburgers.