MATH 106 Quiz 2 Multiple Choice. Make sure to circle or highlight the answer. Show work for partial credit. 1) Determine which of the following points lie on the graph of the linear equation 4x + 5y = 20. A) (5, 4) B) (-5, 8) C) (0, -4) D) (0, 0) E) (-4, 20) 2) Which of the following points satisfy the linear inequality x - 3y 4? A) (3, 0) B) (0, 3) C) (1, 1) D) (2, -3) E) None of these Answer the following to the best of your ability. 3) Find the point of intersection of the two lines 2x + y = 5 and y = x - 1. 4) A towing company charges a fixed amount in addition to a per-mile charge to tow a car. The total charge y in dollars is related to the towing distance x in miles by the equation y = 30 + 2x. (a) Sketch the graph of this equation for 0 x 25. (b) What is the charge of towing a car for 15 miles? (c) If the company charged a customer $50 to tow his car, what was the corresponding towing distance? 5) A game company has fixed costs of $40,000 per year. Each game costs $12.00 to produce and sells for $18.00. How many games must the company produce and sell each year in order to make a profit of $95,000? 6) A water tank is being emptied such that the height y (in feet) of the water inside the tank decreases at a linear rate with time t measured in hours past 12:00 noon. If the height was 15 feet at 1:00 pm and 7.5 feet at 6:00 pm, find (a) the equation relating y to t, (b) the height at 12:00 noon, and (c) the total time required to empty the tank. 7) The table below contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2006. State Population Licensed Drivers Alaska 0.67 0.49 Delaware 0.85 0.62 Montana 0.94 0.72 North Dakota 0.64 0.47 South Dakota 0.78 0.58 Vermont 0.62 0.53 Wyoming 0.52 0.39 Source: Bureau of Transportation Statisitics a) Find the linear regression for the data where x is the state population and y the number of licensed drivers in the state. b) Draw a scatter plot of the data and a graph of the linear regression on the same axes. c) If the population of Idaho in 2006 was about 1.5 million, use the model to estimate the number of licensed drivers in Idaho in 2006 to the nearest thousand. d) If the number of licensed drivers in Rhode Island in 2006 was about 0.74 million, use the model to estimate the population of Rhode Island in 2006 to the nearest thousand