Question

Jayson went to the market. He bought 1 1/2 pounds of salami for $3.75. Identify the graph that shows this relationship. (1 point)
Responses

1.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.

2.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.

3.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.

4.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.

Answer 1

To determine which graph correctly represents the relationship between the amount of salami purchased and its cost, we need to identify the coordinates of the point corresponding to Jayson’s purchase.

Jayson bought 1 1/2 pounds of salami for $3.75. In coordinate terms, this means:

- The x-coordinate (amount in pounds) is 1.5.
- The y-coordinate (cost in dollars) is 3.75.

So, the point we are looking for is (1.5, 3.75).

Now, we can examine the response options:

1. **(1.5, 3)** - Incorrect; the y-value is wrong.
2. **(1.5, 3.75)** - Correct; the coordinates match Jayson’s purchase.
3. **(3.75, 1.5)** - Incorrect; the coordinates are reversed.
4. **(2, 3.75)** - Incorrect; the x-value is wrong.

The correct answer is **2**: A line graph shows amount in pounds on the x-axis and cost in dollars on the y-axis. A line starts at the origin and passes through plotted point (1.5, 3.75).