Which model is most appropriate for the data shown in the graph below?
4 points are plotted on a coordinate grid. The coordinates are approximately
left parenthesis negative 1 comma 0.11 right parenthesis,
left parenthesis 0 comma 0.33 right parenthesis,
left parenthesis 1 comma 1 right parenthesis, and
left parenthesis 2 comma 3 right parenthesis.
A. quadratic
B. linear
C. exponential
D. line
B. linear
To determine the most appropriate model for the data shown in the graph, let's analyze the pattern of the points.
Looking at the given points on the coordinate grid:
(-1, 0.11)
(0, 0.33)
(1, 1)
(2, 3)
By examining the coordinates, it can be observed that as the x-values increase, the y-values also increase. Additionally, the relationship between the x-values and y-values seems to follow a straight line.
Based on this information, we can conclude that the most appropriate model for the data is a linear model.
Therefore, the correct answer is B. linear.