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)$$Skip to navigation
Without seeing the graphs, it is impossible to determine which one shows a lower unit cost.
Since the question is asking for the graph that shows a lower unit cost between the two lines, we need to determine the steepness of each line.
To find the steepness of a line, we can use the slope formula: slope = rise / run.
For line 1, the rise is the change in y-coordinates, which is 6 - 0 = 6, and the run is the change in x-coordinates, which is 3 - 0 = 3. Therefore, the slope of line 1 is 6/3 = 2.
For line 2, the rise is the change in y-coordinates, which is 3 - 0 = 3, and the run is the change in x-coordinates, which is 6 - 0 = 6. Therefore, the slope of line 2 is 3/6 = 1/2.
Since the slope of line 2 (1/2) is smaller than the slope of line 1 (2), this means that line 2 has a lower unit cost.
Therefore, the graph labeled "2" shows a lower unit cost than the graph labeled "1".
To determine which graph shows a lower unit cost, we need to understand what unit cost means in this context.
Unit cost is the cost per unit of a specific item or quantity. In this case, we can think of it as the cost of moving from one coordinate point to another along the solid and dotted lines.
For the solid line, we can calculate the unit cost by dividing the vertical change (y-coordinate difference) by the horizontal change (x-coordinate difference) between the two given points. In this case, the vertical change is 6 - 0 = 6 units, and the horizontal change is 3 - 0 = 3 units. So, the unit cost for the solid line is 6/3 = 2 units.
For the dotted line, we can also calculate the unit cost in the same way. The vertical change is 3 - 0 = 3 units, and the horizontal change is 6 - 0 = 6 units. So, the unit cost for the dotted line is 3/6 = 0.5 units.
Since the unit cost for the dotted line (0.5 units) is lower than the unit cost for the solid line (2 units), we can conclude that graph 2 shows a lower unit cost.