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LIBRARY

a. Write an equation in standard form that models the possible combinations of small vans and large vans that your class could fill. Solve a multi-step problem. EXAMPLE 5. LIBRARY.

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LIBRARY

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  1. a. Write an equation in standard form that models the possible combinations of small vans and large vans that your class could fill. Solve a multi-step problem EXAMPLE 5 LIBRARY Your class is taking a trip to the public library. You can travel in small and large vans. A small van holds 8 people and a large van holds 12 people. Your class could fill 15 small vans and 2 large vans. b. Graph the equation from part (a). c. List several possible combinations.

  2. 8 s + 12 p l = Solve a multi-step problem EXAMPLE 5 SOLUTION a. Write a verbal model. Then write an equation. Because your class could fill 15 small vans and 2 large vans, use (15, 2) as the s- and l-values to substitute in the equation 8s + 12l=pto find the value of p. Substitute15forsand2forl. 8(15) + 12(2) = p 144 = p Simplify. Substitute 144 for pin the equation 8s+12l = p.

  3. ANSWER The equation 8s+12l=144 models the possible combinations. Solve a multi-step problem EXAMPLE 5 b. Find the intercepts of the graph. Substitute0fors. 8(0) + 12l = 144 l = 12 Substitute 0 for l. 8s + 12(0) = 144 s = 18

  4. c. The graph passes through (0, 12), (6, 8), (12, 4), and (18, 0). So, four possible combinations are 0 small and 12 large, 6 small and 8 large, 12 small and 4 large, 18 small and 0 large. Solve a multi-step problem EXAMPLE 5 Plot the points (0, 12) and (18, 0). Connect them with a line segment. For this problem only nonnegative whole-number values of sandlmake sense.

  5. ANSWER 8s + 12l= 136; 17 small, 0 large; 14 small, 2 large; 11 small, 4 large; 8 small, 6 large; 5 small, 8 large; 2 small, 10 large Solve a multi-step problem EXAMPLE 5 for Example 5 GUIDED PRACTICE Solve a multi-step problem EXAMPLE 5 7.WHAT IF?In Example 5, suppose that 8 students decide not to go on the class trip. Write an equation that models the possible combinations of small and large vans that your class could fill. List several possible combinations.

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