The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.
A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4
What would most likely be the approximate height of the plant after 7 weeks?
5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters
To determine the approximate height of the plant after 7 weeks, you can use the line of best fit drawn by Shania on the graph.
First, locate the point on the x-axis that represents 7 weeks. Since the graph shows increments of 5 on the x-axis, there is no point specifically labeled 7. However, you can estimate the position by considering the neighboring points.
From the graph, you can see that the point labeled 5 (representing 5 weeks) has a corresponding height of approximately 4 centimeters.
To estimate the position for 7 weeks, you can observe that the points on the graph are gradually ascending. Therefore, it is reasonable to assume that the height of the plant would continue to increase beyond the point labeled 5 weeks.
Based on this assumption and the trend indicated by the line of best fit, you can estimate that the height of the plant after 7 weeks would be approximately higher than 4 centimeters.
Among the options given, the closest value to 4 centimeters and higher is 5.2 centimeters. Therefore, the most likely approximate height of the plant after 7 weeks is 5.2 centimeters.