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

Question

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 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.

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.
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Answer 1

To determine which graph accurately reflects Jayson’s purchase of 112 pounds of salami for $3.75, we can calculate the price per pound and use that to analyze the provided graph options.

1. Calculate the cost per pound of salami: \[ \text{Cost per pound} = \frac{\text{Total cost}}{\text{Total pounds}} = \frac{3.75}{112} \] This simplifies to approximately \(0.03348\) dollars per pound.

2. Set up the graph axes: In a graph where the x-axis represents the amount in pounds and the y-axis represents the cost in dollars, we would expect:

   • At 112 pounds, the cost would be $3.75.

Since the 112-pound mark is far greater than the ranges provided on the x-axis (which goes from 0 to 4), it’s clear that none of the given graphs will show the actual purchase since they don't scale up to that quantity. However, we can analyze the coordinates presented in the options listed.

Analyze the Points from Each Option:

• Option 1: (2, 3.75)
• Option 2: (3.75, 1.5)
• Option 3: (1.5, 3)
• Option 4: (1.5, 3.75)

Each of these points is within a range that doesn't scale directly to an accurate representation of 112 pounds for $3.75. However, if we focus on how the quantities given work with the cost:

• For the options provided, none reflect the total quantity (112 pounds). However, for the total of \( \text{Cost} = \text{Pounds} \times \text{Cost per pound} \) to be $3.75, the ratio is the key factor.

Unfortunately, without the actual point (112, 3.75) on any of the graphs, it suggests that either the problem is allowing for approximation based on a linear relationship or that the graph is specifically designed for a range different than 112 pounds.

Conclusion:

None of the graphs accurately represent the 112 pounds of salami purchased for $3.75, as they all are capped at lower ranges. However, amongst those values:

If forced to choose one based on the price being 3.75 on the y-axis, Option 1 (2, 3.75) is the only one where the cost meets the given price in the context of the question, albeit not correctly scaling with the quantity.

Thus, the correct response based on the representation of that cost would be Option 1.