To identify the correct graph that shows the relationship between the amount of salami bought (in pounds) and the cost (in dollars), we need to find the coordinates that correspond to the information given: Jayson bought 112 pounds of salami for $3.75.
To express this relationship, we can calculate the cost per pound:
- Cost = $3.75
- Amount = 112 pounds
To find the cost per pound, we divide the total cost by the total amount:
\[
\text{Cost per pound} = \frac{\text{Total Cost}}{\text{Total Amount}} = \frac{3.75}{112} \approx 0.03348
\]
This means that each pound of salami costs approximately $0.03348 (or roughly 3.35 cents).
In the context of the graphs provided:
- The x-axis represents the amount in pounds.
- The y-axis represents the cost in dollars.
The correct graph would show a point that approximates this ratio. Since the maximum amounts on the axes are 4, none of the graphs will show the exact data point (112 pounds, which is far outside the range of the x-axis). However, the point that reflects the final total should be qualitatively plausible.
From the graphs described:
- The second graph mentioned has a line that passes through the point (1.5, 3.75), which indicates that for 1.5 pounds, the cost is $3.75. This is not correct as Jayson spent $3.75 for a whole lot more salami.
- Similarly, the other options also do not correspond as they are all set well within the limits of 0 to 4.
Therefore, based on the relationship:
None of the provided graphs accurately represent the 112 pounds of salami for $3.75, as they all have limits that won't work for the problem stated.
However, if we are to interpret the task in a more simplified situation (like if we mistakenly scaled down), the closest would actually be the point (1.5, 3.75) but bear in mind they are not indicative of real values represented. All are wrong in regards to the exact data provided since real x-values exceed given graph magnitudes significantly.