# supply and demand

bnpoud) kanyap nok jo sunoy BD UIZIM OVNDSX339-008-1 31va 31va -LON SSENAL BUONNOSUE YO SONGISENI WON: 301Oud 3AES ALYVA GHIHI ONV ‘SELVSJV ANVDWO ng each selection, ection and at your (3കറക RRC 3: Linear Task One: Supply and Demand The data provided in the table below show the supply and demand for game cartridges at a toy warehouse. PRICE SUPPLY $10.00 $20.00 $40.00 90 240 540 DEMAN D 440 340 140 JOI 1. Write the supply equation as a function of the price using the data in the table. Show your work. W 2. Write the demand equation as a function of the price using the data in the table. Show your work. 0 3. Solve this system of equations to find the equilibrium price. What does your answer mean? 4. Graph the data points below and draw the supply line and the demand line. Be sure to label your axes and the scale. 5. a) Determine the equilibrium point from the graph. b) How does your answer to part a) compare with your answer from Question 3, in which you found the equilibrium algebraically? 6. While considering the supply and demand equations together, what is a reasonable domain and range for the supply function? Explain your Silverg. Adapted from: http://illuminations.nctm.org demand = Supply when 3. Solve this system of equations to find the equilibrium price. What does your answer mean? Supply Equation y=1/5x+4 At Equil brum, Demand = Supply | x=300 Demand Equation ) y=-%0x454 1/5x+4=1/x + 54 y = 1/6(200) 14 | Price =24 %2 = 50 4. Graph the data points below and draw the supply line and the demand line. Be sure to label your ly= 24 axes and the scale. Supply 5. a) Determine the equilibrium point from the 40 graph Equilibrium point is (200,26) 30 b) How does your answer to part a) compare with your answer from Question 3, in which you found the equilibrium algebraically? Demand 20 Price Price supply Demand Quantity demanded at equilibrium is equal-but price at equilibrum differ but they are close. Algebra gave (300,247 and graph gives (300,26). Algebra is mar accurate 6. While considering the supply and demand equations together, what is a reasonable domain and range for the supply function? Explain your reasoning Domain for supply function is 90, 240, 6.7 SD 240 12.400 560 720 conmondity 540,450 Range for Supply function is 10, 20,34: i are x-values and y-values and there are no problems” sports with this straight line. All real numbers 40. They 2008 National Council of Teachers of Mathematics httpiluminations com org Adapted from:

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