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 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 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.
Skip to navigation

Answer 1

To find the correct graph representing the relationship between the amount of salami purchased (in pounds) and the cost (in dollars), we need to understand the relationship that Jayson has encountered.

Jayson bought 112 pounds of salami for $3.75.

To clarify:

• The x-axis should represent the weight in pounds,
• The y-axis should represent the cost in dollars.

Based on the provided information, when we plot the point of interest (112 pounds, $3.75), we should recall that this point translates to the coordinates (112, 3.75).

However, since none of the options reflect this direct point, we have to look for the general relationship of cost per pound.

Calculating the cost per pound: \[ \text{Cost per pound} = \frac{3.75 \text{ dollars}}{112 \text{ pounds}} \approx 0.03348 \text{ dollars per pound} \]

This implies that at approximately 1 pound, the cost would be around $0.03348.

Now let's consider the options:

1. (3.75, 1.5) - This does not reflect the relationship we calculated.
2. (1.5, 3.75) - This implies the cost for 1.5 pounds is $3.75, which is incorrect.
3. (2, 3.75) - This indicates the relationship is incorrect.
4. (1.5, 3) - This also does not reflect the calculated cost per pound.

None of the options provided accurately depict the relationship between pounds and cost as per Jayson’s purchase.

However, the most relevant point we could use to represent the proportional increase in weight to cost on a broader scale is the most correct representation of cost per weight.

In general, you'd want a line graph that depicts the cost increasing with weight, starting at the origin. But none of those options provided for the correct depiction of Jayson’s purchase.

If you had to choose the closest correct graph based on higher quantities, you might look for the one that makes the linear relation corresponding to salami weight and the total dollar cost easier to plot, but keep in mind this exercise looks to demonstrate direct relatable coordinates, not approximate values in this specific choice context.

Thus, there simply isn’t a correct answer among the choices given.