EXTENDED RESPONSE The table shows how values of a painting increased over ten years. Part A: Select and create a display that shows the relationship between years and the value of the painting. Justify your reasoning. Part B: Write a conclusion based on your graph. Part C: Use the graph to predict what the value of the painting will be in 2018. Year: 2005, 2006, 2007, 2008, and 2009. Value: $350, $650, $950, $1,200, and $1,551. Year: 2010, 2011, 2012, 2013, and 2014. Value: $1,851, $2,151, $2,451, $2,752, and $3,052.

Answer 1

Part A: A line graph would be the best display to show the relationship between years and the value of the painting. The x-axis would represent the years, and the y-axis would represent the value of the painting. Each year's value would be plotted and connected with a line.

Part B: Based on the graph, it can be seen that the value of the painting steadily increases over time. The value seems to increase at a faster rate in the later years (2010-2014) as opposed to the earlier years (2005-2009).

Part C: Using the graph, it can be predicted that the value of the painting in 2018 would be approximately $3,352. This prediction is based on the steady increase in value shown in the graph and assuming that the trend continues.