CIS 490 Online Fall 2014 Written Homework #2 1. Consider the line Y = 3 + 5X. Find the points on the line when X=0, X=1, X=4, and X=5. Plot the points and plot the line on the graph below. Calculate the rise and run as X goes from X=1 to X=4. Use the rise and run to verify that the slope is equal to 5. What is the Y-intercept or the line? Calculate the absolute change in Y as X goes from X=0 to X=1, and as X=4 to X=5. Calculate the percent change in Y as X goes from X=0 to X=1, and as X=4 to X=5. Which of the change absolute or percent remains the same in the two cases. 2. Plot the lines Y = 10 - 2X, Y = 24 - 3X, Y = 3X (Y = 0 +3X), Y = 3 +4X on the graph below. 0 1 2 3 4 5 6 Which line rises the fastest and which line declines the fastest ? Give a reason for your answer. 3. Find the equation of the line through the points: (2,2) and (5,17). Find the run, rise, and slope of the line. Then find the intercept. Then graph the line. 4. Find the equation of the line through the points: (2,10) and (5,4). Find the run, rise, and slope of the line. Then find the intercept. Then graph the line. 16 14 12 10 8 6 4 2 0 0 1 2 3 4 5 6 5. The President of Murray State University has found an equation for predicting the number of students who will walk around the MSU Campus at night. The equation is N = 300 - .2T where N is the number of students walking and T is the temperature at 7pm. If T = 85 predict the number of students that will walk that night. The slope of this line is negative, use the slope to interpret the relationship between N and T. 6. What is -(-4)? What is (-2)(-3)? 7. The Hershey's Corporation is trying to decide what to price to put on their King Size Milk Chocolate with Almonds Bar in West Kentucky. Let D = the number of Candy Bars demanded by West Kentucky and S = the number of Candy Bars that Hershey's is willing to supply West Kentucky. The demand equation as a function of price is S= P .0000 158 D= 2.2P .0000025 and the supply equation is . Find the market clearing price of a Hershey's King Size with Almonds Bar in West Kentucky. How many of these candy bars will Hershey's Corporation sell in West Kentucky