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

Responses

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.

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.

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.

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.
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1 answer

To determine which graph correctly represents the relationship between the weight of salami bought (112 pounds) and the cost ($3.75), we first need to calculate the cost per pound.

The cost per pound can be calculated using the following formula:

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

To illustrate this relationship on a graph, we need to choose a scalable range. If we look for the amount of salami purchased, we find that if he bought 1 pound, it would cost about $0.03348, and if he bought 112 pounds, it would cost $3.75.

Now let's examine the plotted points in the response options:

  • A point that represents the cost when buying 1 pound (around $0.033) is significantly lower than the provided points on the graphs because most of them deal with costs from $1 to $4.
  • The only specific plotted point related to the total cost of $3.75 is a significant consideration. However, none of the choices appear to show the relationship accurately for 112 pounds at $3.75.

Since there are no exact points that match the 112 pounds and $3.75 directly on these graphs, could you confirm if there have been clarifications or alternative points regarding the scaling or if there’s more data available? Based on the weights stated in the closest option, the price might be notably misrepresented due to a wrong plot correlation or missing graph scales.

Please choose the graph that best fits the established cost relationship based on the options provided, even though they seem off.