Graph: Top: Fir Tree Growth. Bottom: Time (yr). Side: Diameter (in.)

40 /
32 /
24 /
16 /
8 /
0 10 20 30 40 50

a. Using the graph, describe the key characteristics of the graph (positive/negative slope, proportional/non proportional, y-intercept). b. Write in words what the slope of the graph means in context. c. Write in words what the y-intercept of the graph means in context. d. Write in words what the graph of the line is showing.

1 answer

a. The graph has a positive slope, meaning that as time increases, the diameter of the fir tree also increases. The graph appears to be proportional, as the line is straight and consistent. The y-intercept is not shown on the graph, so it is unknown.

b. The slope of the graph represents the rate at which the diameter of the fir tree is increasing over time. In other words, it shows how much the diameter increases for each unit of time.

c. Since the y-intercept is not shown on the graph, it is not possible to determine its meaning in context.

d. The graph shows the growth of a fir tree over time, with the diameter increasing steadily.