Jayson went to the market. He bought 112 pounds of salami for $3.75. Identify the graph that shows this relationship.
1. 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 left parenthesis 1.5 comma 3 right parenthesis.
Image with alt text: 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 left parenthesis 1.5 comma 3 right parenthesis.
2. 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 left parenthesis 1.5 comma 3.75 right parenthesis.
Image with alt text: 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 left parenthesis 1.5 comma 3.75 right parenthesis.
3. 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 left parenthesis 3.75 comma 1.5 right parenthesis.
Image with alt text: 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 left parenthesis 3.75 comma 1.5 right parenthesis.
4. 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 left parenthesis 2 comma 3.75 right parenthesis.
Image with alt text: 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 left parenthesis 2 comma 3.75 right parenthesis.
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The correct graph that shows the relationship between the amount of salami in pounds and the cost in dollars is option 2. The line starts at the origin and passes through the point (1.5, 3.75), indicating that for 1.5 pounds of salami, the cost is $3.75.
The correct graph that shows the relationship between the amount of salami in pounds and the cost in dollars is Option 2.
To identify the graph that shows the relationship between the amount of salami bought (in pounds) and the cost (in dollars), we need to consider the given information.
The question states that Jayson bought 112 pounds of salami for $3.75. So, on the graph, we should look for a point that represents these values.
Let's analyze the options:
1. A line graph starts at the origin (0,0) and passes through the point (1.5,3). However, this graph does not represent the cost of $3.75, so it is not the correct answer.
2. A line graph starts at the origin (0,0) and passes through the point (1.5,3.75), which represents the amount of salami Jayson bought (112 pounds) for the cost of $3.75. This graph accurately depicts the relationship between the amount of salami and the cost, so it is a possible answer.
3. A line graph starts at the origin (0,0) and passes through the point (3.75,1.5). This graph does not align with the given information, so it is not the correct answer.
4. A line graph starts at the origin (0,0) and passes through the point (2,3.75). This graph does not represent the amount of salami (112 pounds) and the cost of $3.75, so it is not the correct answer.
Taking all this into consideration, the correct answer is option 2.