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Questions 1-3: The slope between two points represents the average rate of change between those points. In other words, if these points were connected by
Questions 1-3: The slope between two points represents the average rate of change between those points. In other words, if these points were connected by a line, the average rate of change would be the slope of that line. A parents group is writing a grant to support an afterschool program for their children. They want to make the point that government funding for afterschool programs in their school has decreased over the last decade while the cost of offering programs has increased. They have the data given below. 2000 2010 Government funding for afterschool programs ($/child) $3,000 $1,800 Cost of services ($/child) $3,800 $5,100 1) Which of the following is the best interpretation of the average rate of change in the government funding? a) Government funding has changed by an average of $120 each year. b) Government funding has decreased by an average of $120 per child each year. c) Government funding has decreased by an average of $1,200 per child each year. d) d Government funding has decreased by an average of $1,800 per child each year. 2) Now write an interpretation of the average rate of change in the cost of services. 3) Sketch a graph showing linear models of the two sets of data. Be sure to include a title, scales, and labels on the axes. Label each of the models on the graph. 4) Use the previous answers to write an argument for the parents group to include in the grant application
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