Question

The two lines at right represent the

growing profits of Companies A and B.
b.
d.
100-
a. 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.
In how many years will both companies have the same profit?
Approximately what will that profit be?
Which company's profits are growing more quickly? How can you tell?
Profit
[ Graph photo ]
(thousands
of dollars)
1 2 3 4 5
Time (years)

Answer 1

Line A with the decreasing trend represents Company B, while Line B with the increasing and steeper trend represents Company A. The point where both lines intersect on the graph indicates when both companies will have the same profit and the value of that profit. The steeper line indicates quicker profit growth.

Step-by-step explanation:

To determine which line represents Company A and which represents Company B, with the given information that Company A started with more profit than Company B, we must look for the line that begins higher on the Y-axis, representing profit, and is then followed by the other company's line. If Line A is decreasing and Line B is increasing with Line B being much steeper than Line A, then Line A represents Company B (since it started with less profit and is increasing), and Line B represents Company A (which started with more profit but is decreasing).

To find when both companies will have the same profit, we look for the point where the lines intersect on the graph. This intersection point gives us the number of years until both companies share the same profit level and the approximate value of that profit. The company whose profit line is increasing more steeply is growing profits more quickly. This can be determined by the slope of the line on the graph, where a steeper slope indicates a faster growth rate.