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Example 4-1a

Find the solution set for given the replacement set {(–5 , 0) , (–3 , –2) , (2 , 13) , (4 , 19)} . x. y. True or False?. –5. 0. false. –3. –2. true. 2. 13. true. 4. 19. true. Example 4-1a. Make a table. Substitute each ordered pair into the equation. Example 4-1a.

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Example 4-1a

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  1. Find the solution set for given the replacement set {(–5, 0), (–3, –2), (2, 13), (4, 19)}. x y True or False? –5 0 false –3 –2 true 2 13 true 4 19 true Example 4-1a Make a table. Substitute each ordered pair into the equation.

  2. Example 4-1a The ordered pairs (–3, –2), (2, 13) and (4, 19) result in truestatements. Answer: The solution set is{(–3, –2), (2, 13), (4, 19)}.

  3. Find the solution set for given the replacement set {(3, 1), (6, 8), (1, 5), (–1, 1)}. Example 4-1b Answer: {(1, 5), (–1, –1)}

  4. Solve if the domain is {–2, 0, 3, 5, 8}. Example 4-2a Make a table. The values of c come from the domain. Substitute each value of c into the equation to determine the values of d in the range. Answer: The solution set is {(–2, 10), (0, 8), (3, 5), (5, 3), (8, 0)}.

  5. Solve if the domain is {–1, 0, 2, 5}. Example 4-2b Answer: {(–1, –6), (0, –4), (2, 0), (5, 6)}

  6. Solve if the domain is {0, 1, 2, 3}.Graph the solution set. Original equation Subtract 9x from each side. Simplify. Divide each side by 3. Simplify. Example 4-3a First solve the equation for y in terms of x. This makes creating a table ofvalues easier.

  7. Example 4-3a Substitute each value of x from the domain to determine the corresponding values of y in the range. Answer: The solution set is {(0, 5), (1, 2), (2, –1), (3, –4)}. Graph the ordered pairs.

  8. Solve if the domain is {0, 1, 2, 3}.Graph the solution set. Example 4-3b Answer: {(0, 4), (1, 1), (2, –2), (3, –5)}

  9. TravelIn 2002, 12countries in Europe made the switch to a singlecurrency, the euro. Suppose the exchange ratebetween U.S. dollars and euros is one dollar = 1.11 euros. The equation can be used to convert U.S. dollars to euros.If a traveler is going to spendthe following amounts per day while in Europe, find theequivalent U.S. dollars for the amounts given in euros(EUR) Graph the ordered pairs. Example 4-4a

  10. Explore In the equation , D represents U.S. dollars and E represents the euro. However, we are given values in euros and wantto find values in dollars. Solve the equation for D since the values for D depend on the given values of E. Original equation Divide each side by 1.11. Simplify and round to the nearest hundredth. Plan The values of E, {90, 50, 30, 20}, are the domain.Use the equation to find the values forrange. Example 4-4a

  11. Example 4-4a Solve Make a table ofvalues.Substitute each value of E from the domain to determine the corresponding values of D. Round to the nearestdollar.

  12. Example 4-4a Graph the ordered pairs. Answer: Notice that the values for the independent variable E are graphed along the horizontalaxis, and the values for the dependent variable D are graphed along the verticalaxis.

  13. Example 4-4a The equivalent amounts in U.S. dollars for the given amounts in euros is shown in the table. Examine Look at the values in the range. The cost in dollars is lower than the cost in euros. Do the results make sense?

  14. TravelThe exchange rate betweenU.S. dollars and Swiss francs is one dollar = 1.68 Swiss francs. The equation can be usedto convert U.S. dollars to Swiss francs F. If a traveler is going to spend the following amounts perday while he is in Switzerland, find the equivalentU.S. dollars for the amounts given. Graph the orderedpairs. Example 4-4b Answer:

  15. Example 4-4b

  16. End of Lesson 4

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