To identify the graph that shows the relationship between the weight of salami (in pounds) and its cost (in dollars), we need to establish the relationship mathematically.
Jayson bought 1.5 pounds of salami for $3.75, which gives us a unit rate (cost per pound):
\[ \text{Cost per pound} = \frac{\text{Total Cost}}{\text{Total Weight}} = \frac{3.75}{1.5} = 2.5 \text{ dollars per pound} \]
This means that for every pound of salami, it costs $2.50.
If we're looking for a graph to illustrate this relationship, we will likely see:
- The x-axis representing the weight of the salami in pounds.
- The y-axis representing the cost of the salami in dollars.
- A straight line that starts at the origin (0,0) and has a positive slope, indicating that as the weight increases, the cost increases linearly.
The slope of the line would correspond to the unit rate of $2.50 per pound.
If you have different graph options in front of you, look for the one that shows a linear relationship starting from the origin with a slope of 2.5.