Derive the two expressions for the IS and LM equilibrium relationships respectively. Sketch a graph of the two relationships.

The cost function for a species of wild fish is estimated to be a function C(x) where x is the number of millions of pounds of this fish caught and C is the cost in millions of dollars. Two points that are on the graph are (x, C) = (3, 0.103) and (x, C) = (6, 0.133). Using this information and assuming a linear model, determine a cost function. C(x) =

The data in the following table show five students' reading test scores and final exam grades in a history class. Reading Test Score, x 8.5 9.4 10.0 11.4 12.0 History Final Exam Grade, y 66 68 78 87 92 (a) Use the points (8.5, 66) and (10.0, 78) to find a linear model that will predict a student's final exam grade, y, given his or her reading test score, x. y= (b) Use your linear model to estimate a student's final exam grade in the history class given that the student's reading test score was 10.5.