Graph Proportional Relationships Quick Check
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Question
Jayson went to the market. He bought 112 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.
(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 3.75 comma 1.5 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 1.5 comma 3.75 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.
The correct graph is:
(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 (1.5, 3.75).
The correct answer is (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 the plotted point (1.5, 3.75).
To identify the correct graph that shows the relationship between the amount of salami in pounds and the cost in dollars, we need to look at the given information.
According to the question, Jayson bought 112 pounds of salami for $3.75. This means that the x-axis of the graph represents the amount of salami in pounds, and the y-axis represents the cost in dollars.
Let's go through the given answer choices:
(1) A line graph that starts at the origin and passes through the plotted point (1.5, 3). This doesn't match the information given in the question, as there is no mention of 1.5 pounds of salami.
(2) A line graph that starts at the origin and passes through the plotted point (3.75, 1.5). This matches the information given in the question.
(3) A line graph that starts at the origin and passes through the plotted point (1.5, 3.75). This doesn't match the information given in the question, as there is no mention of 3.75 pounds of salami.
(4) A line graph that starts at the origin and passes through the plotted point (2, 3.75). This doesn't match the information given in the question, as there is no mention of 2 pounds of salami.
Therefore, the correct answer is (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 the plotted point (3.75, 1.5).