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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 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.

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.
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1 answer

To determine the correct graph based on Jayson buying 112 pounds of salami for $3.75, we need to analyze the information given:

  • The relationship shows pounds (x-axis) against cost in dollars (y-axis).
  • Jayson bought 112 pounds for $3.75.

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

Cost per pound = Total Cost / Total Pounds = $3.75 / 112 pounds = $0.0333 (approximately).

Given that the values on the axes of the graphs range only from 0 to 4, the point representing Jayson's purchase will not fall within the range of the graphs shown since 112 pounds is too high.

However, if we need to identify which graph might be intended for smaller values in a similar scenario (e.g., perhaps 2 pounds for $0.075 or some simplified scale), we can analyze the plotted points:

  1. (1.5, 3.75) - This indicates something like 1.5 pounds for $3.75, which doesn't match.
  2. (1.5, 3) - This would imply 1.5 pounds for $3, also incorrect.
  3. (3.75, 1.5) - Indicates 3.75 dollars for 1.5 pounds, which also doesn't match.
  4. (2, 3.75) - Indicates 2 dollars for 3.75 pounds, which does not match either.

Since none of these points directly relate to the actual purchase, none accurately represent the relationship described.

Given the weight and cost, it's likely that no points suitable for this specific case exist on the provided graphs, but if we are adhering strictly to the closest formatted scenario, the fourth option (2, 3.75) suggests a possible representation of cost given as y-values.

Therefore, among the choices, the best response would be: A line graph showing the point (2, 3.75).