Graph Proportional Relationships Quick Check

The correct graph that shows the relationship between the amount of salami purchased in pounds and the cost in dollars is the first option:

A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3 and 4. A line starts at the origin and passes through plotted point (3.75, 1.5).

is it the first second third or fourth graph

I apologize for the confusion. The correct graph that shows the relationship between the amount of salami purchased in pounds and the cost in dollars is the second option:

A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. Both the x-axis and y-axis range from 0 to 4 in increments of 0.25, and are marked at 1, 2, 3, and 4. A line starts at the origin and passes through plotted point (1.5, 3.75).

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.