Compare Proportions from Graphs & Equations Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows quadrant one of a coordinate plane where the x-axis and y-axis range from 0 to 6 in increments of 1. A solid line, labeled 1, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 3 comma 6 right parenthesis. A dotted line, labeled 2, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 3 right parenthesis.
Which of these graphs shows a lower unit cost, 1 or 2?(1 point)
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There is no image provided in the question, so it is not possible to determine which graph shows a lower unit cost.
To determine which graph shows a lower unit cost, we need to examine the slopes of the lines. The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In this case, the unit cost will be represented by the slope of the line.
For line 1, the slope can be calculated using the following formula:
slope = (change in y) / (change in x)
Given the coordinates (0, 0) and (3, 6), the change in y is 6 - 0 = 6, and the change in x is 3 - 0 = 3. Therefore, the slope of line 1 is 6/3 = 2.
For line 2, the slope can be calculated using the same formula:
slope = (change in y) / (change in x)
Given the coordinates (0, 0) and (6, 3), the change in y is 3 - 0 = 3, and the change in x is 6 - 0 = 6. Therefore, the slope of line 2 is 3/6 = 0.5.
Since the unit cost is represented by the slope, we can see that the slope of line 2 (0.5) is lower than the slope of line 1 (2). Therefore, graph 2 shows a lower unit cost.