Jayson went to the market. He bought 112 pounds of salami for $3.75. Identify the graph that shows this relationship. (1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage 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.%0D%0A%0D%0A%0D%0AImage 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.%0D%0A%0D%0A%0D%0AImage 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.%0D%0A%0D%0A%0D%0AImage 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.

Answer 1

To identify the correct graph based on Jayson buying 112 pounds of salami for $3.75, we need to determine the cost per pound.

To find the cost per pound, we divide the total cost by the total pounds:

\[ \text{Cost per pound} = \frac{\text{Total Cost}}{\text{Total Pounds}} = \frac{3.75}{112} \approx 0.03348 \text{ dollars per pound} \]

Given this price per pound, if you were to plot points showing cost against pounds, you would typically see a linear relationship where cost increases with the amount of salami purchased.

Now let's analyze the points mentioned in the responses:

1. (1.5, 3.75): This may seem like a cost of $3.75 for 1.5 pounds.
2. (1.5, 3): This would suggest a price of $3 for 1.5 pounds.
3. (2, 3.75): This would suggest a price of $3.75 for 2 pounds.
4. (3.75, 1.5): This suggests a price of $1.50 for 3.75 pounds.

Based on your description, the relationship is with 112 pounds for $3.75, we want to find a point that corresponds to low values for pounds but a higher value for cost since the cost per pound is low. The only point in the options that aligns closely with a price of $3.75 for something that could represent many more pounds would be point (2, 3.75). However, that would also correspond to a strikingly expensive cost for less amount.

Considering the option provided, it seems the intent is to represent proportional relationships rather than utility at scale. Overall, none of the points directly corresponds to 112 pounds and $3.75, but the representation of quantity and price seems to be better suited by the (2, 3.75) option. Would you choose that one?

Please let me know if you need any further analysis or explanation!