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)
To identify the graph that shows the relationship between the amount of salami Jayson bought and the cost, we need to understand the rate at which the salami is sold. We can calculate the cost per pound of salami:
$3.75 for 1.5 pounds of salami.
Let's find the price per pound:
Price per pound = Total cost / Number of pounds
Price per pound = $3.75 / 1.5
Price per pound = $2.50 per pound
This tells us that for every pound of salami, Jayson will spend $2.50. The graph that represents this relationship would be a straight line that passes through the origin (0,0), because if Jayson buys 0 pounds of salami, it will cost $0.
On the x-axis, you would have the weight of the salami in pounds, and on the y-axis, the cost in dollars. The line would go up by $2.50 for every increment of 1 pound on the x-axis. If you plotted the point given, (1.5, 3.75), it should lie on this line, and any other point on the line should reflect the same rate—we could call this the "unit rate" of salami per dollar.
Unfortunately, I cannot provide you with an actual graph, but you can sketch it on paper. To do so:
1. Draw a set of axes with the x-axis representing the weight of salami in pounds and the y-axis representing the cost in dollars.
2. Mark a point at (1.5, 3.75).
3. Draw a line from the origin (0,0) that passes through this point.
This line should be heading upwards from left to right with a slope of 2.50, reflecting the price per pound of the salami. Every point on the line will represent another possible combination of pounds of salami and its associated cost at the same rate of $2.50 per pound.