To answer this question, you need to understand the relationship between the amount of salami bought (in pounds) and the cost (in dollars). Given that Jayson bought 112 pounds of salami for $3.75, you need to find the graph that represents this relationship.
Let's analyze the options:
Option A: A line graph shows the amount in pounds on the x-axis and cost in dollars on the y-axis. The x-axis ranges from 0 to 4 in increments of 0.25, and the y-axis ranges from 0 to 4 in increments of 0.25. The line starts at the origin (0,0) and passes through the point (3.75,1.5).
Option B: Similar to Option A, a line graph shows the amount in pounds on the x-axis and cost in dollars on the y-axis. The x-axis ranges from 0 to 4 in increments of 0.25, and the y-axis ranges from 0 to 4 in increments of 0.25. However, the line starts at the origin (0,0) and passes through the point (1.5,3.75).
Option C: Similar to Options A and B, a line graph shows the amount in pounds on the x-axis and cost in dollars on the y-axis. The x-axis ranges from 0 to 4 in increments of 0.25, and the y-axis ranges from 0 to 4 in increments of 0.25. The line starts at the origin (0,0) and passes through the point (1.5,3).
Option D: Similar to Options A, B, and C, a line graph shows the amount in pounds on the x-axis and cost in dollars on the y-axis. The x-axis ranges from 0 to 4 in increments of 0.25, and the y-axis ranges from 0 to 4 in increments of 0.25. This line starts at the origin (0,0) and passes through the point (2,3.75).
Given that Jayson bought 112 pounds of salami for $3.75, the correct graph would show the relationship of 112 pounds on the x-axis and $3.75 on the y-axis. Looking at the options, we can see that Option D, where the line passes through the point (2,3.75), represents the correct relationship. Therefore, the graph that shows this relationship is Option D.