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 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 3.75 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.

Answer 1

To determine the correct graph that represents the relationship between the amount of salami bought (in pounds) and the cost (in dollars), we can calculate the price per pound based on the information given.

Jayson bought 112 pounds of salami for $3.75.

To find the cost per pound, we calculate:

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

Calculating this gives:

\[ \text{Cost per pound} = 0.03348 \text{ (approximately)} \]

This means for every pound of salami, the cost is about $0.0335.

Now, if we represent this on a graph where:

• The x-axis represents the amount in pounds,
• The y-axis represents the cost in dollars,

the point representing 112 pounds would be (112, 3.75). However, since none of the options provided refer to this point directly, we'll consider the details of the plotted points presented in the multiple choices.

We need to find the plot point that correctly represents the relationship:

• (pounds, cost) = (pounds, dollars)

Upon reviewing the plotted options for their coordinates:

1. (3.75, 1.5)
2. (2, 3.75)
3. (1.5, 3.75)
4. (1.5, 3)

The only correct point that correlates to how many pounds you can buy for $3.75 is option:

B: (2, 3.75)

This is because if you pay $3.75 for 2 pounds, the cost per pound would be $3.75 / 2 = $1.875, which is incorrect. Since no option accurately reflects the tremendous quantity of 112 lbs at $3.75, the data cannot correspond clearly to a physical instance.

If Jayson paid $3.75 for 112 lbs, an alternative price graph point should've been mentioned.

To conclude, option B (2, 3.75) reflects the cost spent for a pound selection, while discrepancies arise with the overall transaction done by Jayson. It implies there was confusion in creating the graph since the purchase outlined an atypical approach to scale of the product bought.