# PS1 - METU Department of Economics Econ 101 Introduction to...

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1 METU Department of Economics Econ 101: Introduction to Economics I Sections 01-02-03 2011-2012 Fall Semester Problem Set 1: Mathematics Review PART A - QUESTIONS Q.1) Refer to the figure below. What is the expression of the slope of the line between points A and B? Slope of the line b/w points A and B: Q.2) Write the equations of the linear functions whose graph a. has slope 4 and intercept (0, 5) b. has slope -3 and intercept (0, 0) c. has slope 3 and passes through the point (1, 1) d. has slope -2 and passes through the point (2, -2) e. passes through the points (2, 5) and (4, 7)

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2 Q.3) Use the following figure to calculate the slope of the relationship: Q.4) Using the following figure; y b 70 a 50 30 c 20 Z Z 0 20 90 100 x a) What is the slope of the curve ZZ at point a? b) What is the slope of the curve ZZ at point b? c) What is the slope of the curve ZZ at point c? Q.5) Graph the following equations and indicate their respective slopes and intercepts. Explain whether the variables are positively or negatively related. a) 3y+45x=30 b) y-3x=6 c) 16y-4x+32=0 d) 6y+3x-18=0 Y a 2 b 6 8 10 6 1.5 X a) At points a and b. b) Across the arc ab.
3 Q.6) You are given two equations as follows: y = mx+b (1) z = - mx+b (2) where x, y, z are variables; b and m are positive constants . For the equations above; a) Define the dependent variables. b) Define the independent variables. c) Show the intercept and slope terms, and interpret them. d) Explain whether the variables are positively or negatively related. Give economic examples of what the variables in equations may be. Q.7) From the graphs below, indicate which graph(s); a) are increasing for all x, b) are decreasing for all x, c) are increasing at a constant rate for all x , d) are decreasing at a constant rate for all x, e) are increasing at an increasing rate for all x, f) are increasing at a decreasing rate for all x, g) are decreasing at an increasing rate for all x, h) are decreasing at a decreasing rate for all x, (a) (b) y y x x y y

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4 (c) (d) (e) (f) (g) (h) x x x x x x y y y y
5 PART B - MULTIPLE CHOICE QUESTIONS 1) If we say that two variables are directly related, this means that:

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## This note was uploaded on 01/05/2012 for the course ECON 101 taught by Professor Gulipektunc during the Spring '11 term at Middle East Technical University.

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PS1 - METU Department of Economics Econ 101 Introduction to...

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