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.
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.
a. The key characteristics of the graph are:
- The slope of the graph is positive, as the tree growth (y-axis) increases with time (x-axis).
- The graph shows a proportional relationship, as the tree growth increases steadily as time passes.
- The y-intercept of the graph is 0, indicating that initially, when time is 0, the tree has no growth or diameter measured.
b. The slope of the graph means that for every unit increase in time (year), the tree's diameter increases by a certain unit.
c. The y-intercept of the graph represents the initial diameter of the tree when time is 0. In this case, it is 0, indicating that the tree had no diameter (or growth) at the start.
d. The graph of the line shows how the diameter of the fir tree increases over time. It depicts a positive relationship between time and diameter, illustrating the growth of the tree.
a. The graph has a negative slope, meaning that as the time (years) increases, the diameter (inches) of the fir tree decreases. The graph is non-proportional, as the change in diameter is not constant. The graph does not have a y-intercept.
b. The slope of the graph represents the rate of change of the diameter of the fir tree over time. In this context, the negative slope indicates that the fir tree is decreasing in size as time goes by.
c. The graph does not have a y-intercept. In this context, it means that at the beginning of the observation period (year 0), the fir tree already had a diameter of 8 inches.
d. The graph of the line shows the growth or reduction of the diameter of a fir tree over time. It visually represents how the diameter of the fir tree decreases steadily over the given time period.