Jayson went to the market. He bought 112

Question

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 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 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.

Answer 1

To find the correct graph that shows the relationship between the amount of salami (in pounds) and its cost (in dollars), we need to consider the values given: Jayson bought 112 pounds of salami for $3.75.

To create a relationship from this, we can calculate the cost per pound:

\[ \text{Cost per pound} = \frac{\text{Total Cost}}{\text{Amount in pounds}} = \frac{3.75}{112} \]

Calculating that gives approximately:

\[ \text{Cost per pound} \approx 0.0335 \text{ dollars per pound} \]

Now we need to analyze the graphs:

1. Graph 1: Passes through (2, 3.75) — this suggests that 2 pounds cost $3.75, which is incorrect according to our calculations.

2. Graph 2: Passes through (1.5, 3.75) — suggests that 1.5 pounds cost $3.75, which is also incorrect.

3. Graph 3: Passes through (3.75, 1.5) — suggests that at $3.75, you can buy 1.5 pounds, also incorrect.

4. Graph 4: Passes through (1.5, 3) — suggests that at 1.5 pounds, the cost is $3, which is also incorrect.

Since none of the graphs provided accurately reflect the relationship of cost per pound (with 112 pounds costing $3.75), it appears they do not represent appropriate pricing.

Nonetheless, looking at the context you provided, the proper representation likely needs a wider scale rather than the range stated (0 to 4) for both axes, as 112 pounds is much beyond that range.

Based solely on the costs provided, none of the selected graphs are accurate based on the given values. However, if you feel one is still closer or better suited, please clarify, and we can analyze further.