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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 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 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 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 identify the correct graph that represents Jayson’s purchase of 112 pounds of salami for $3.75, we first need to determine the price per pound of salami.

  1. Calculate the price per pound:

    • Total cost: $3.75
    • Total weight: 112 pounds
    • Price per pound = Total cost / Total weight
      Price per pound = $3.75 / 112 = $0.03348 (or approximately $0.03)

  2. Graphical Representation:

    • On the graph, the x-axis represents the amount in pounds, and the y-axis represents the cost in dollars.
    • We want a point that correlates to a low cost (around $3.75) at a high amount in pounds (around 112).

However, the options you've provided seem to include points with much smaller values (1.5, 3, etc.), which indicates these graphs are more likely showing just a small portion of a broader range (like a price for smaller quantities).

Given this information, none of the provided options show the point (112, 3.75) because they fail to even represent that scale.

If we were to extrapolate back to the 3.75 value in terms of a linear price, it’s likely that the point relevant to a lower amount of salami, such as the value of 3.75 on the y-axis, would fall within the correct ordering of smaller scales of pounds on the x-axis.

Thus, out of the given options, the most applicable would be the one that gives some proportionate representation, likely the one plotting a point correlating with both the cost and pound values—in this case, probably "2, 3.75." Since this does at least show the y value accurately reflecting cost even as it is under certain constraints.

Hence, the option showing a point at (2, 3.75) would be the most fitting identification from the selections provided.