17. Solving an equation for a variable Solve each of the following equations for z. Solution - Sz4d=10 v 20-4z=-28 v Organize each of the following equations to express P as a function of Q. Q asafunction of P P as a function of Q-2-P - Q=20-5P v 8Q =18 2P - 18. Graphs of equations with two variables Suppose that the relationship between price, P, and quantity, @, is given by the equation @ = 140 4P. Which of the following equations correctly represents solving @ = 140 4P for P? O P=35-1Q O P=140-Q O P=140+Q O P=35-4Q O P =140 4Q Plot the relationship between P and @ on the following graph. Note: Price (P) is on the vertical axis and quantity (@) is on the horizental axis. @ PRICE 8 0 5 1 15 2 o W B W@ QUANTITY The slope of this lineis . 11. Area of a triangle The following diagram shows two triangles. Q) , 2 o os 5 = g o o 5 3 2 1 o & + > 1 2 3 4 5 o 7T 3 1w DISTANCE (Inches) The green (upper) triangle has an area of . The purple (lower) triangle has an area of v . Place the orange triangle (square symbols) directly next to the green triangle 5o that the two triangles together make a rectangle. The total area of this rectangle is W, whichis the area of the green triangle. Suppose that the P in this equation refers to the price Julie is willing to pay for an additional magazine, and the @ refers to the number of magazines to which Julie subscribes. Read the following statement carefully: \"The more magazines Julie subscribes to, the less she is willing to pay for an additional magazine.\" Which of the following best summarizes the pattern of causality suggested by this statement? O A change in P causes a change in Q. O The relationship between P and Q is not a causal relationship. O A change in Q causes a change in P