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2-54.

First quadrant graph with 2 lines. The, X axis is labeled Time, in Years, and the, Y axis is labeled Profit, in thousands of dollars. Line 1 starts at about the point (0, comma 3.5), and goes through the point (3, comma 6.5). Line 2 starts at about the point (0, comma 2), and goes through the point (4, comma 8). The two lines at right represent the growing profits of Companies A and B.  

  1. Sketch this graph on your paper. If Company A started out with more profit than Company B, determine which line represents A and which represents B. Label the lines appropriately.

    Company A's line should have a greater -intercept, since they started with more profit than Company B.

    See the graph below.

    The same graph as the problem, but the line that starts at the point (0, comma 3.5) is Labeled A and the line that starts at the point (0, comma 2) is Labeled B.

  2. In how many years will both companies have the same profit?

    Find where the two lines intersect.

    Determine the x-coordinate for this point.

    years

  3. Approximately what will that profit be?

    The profit is the y-coordinate of the intercept. Each tick mark represents .

  4. Which company’s profits are growing more quickly? How can you tell?

    Growth is related to how steep a line is. Which line is steeper?