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Solve a multi-step problem

EXAMPLE 5. Solve a multi-step problem. Trip Expenses. Your art club is planning a bus trip to an art museum. The cost for renting a bus is $495, and the cost will be divided equally among the people who are going on the trip. A museum ticket costs $12.50 per person.

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Solve a multi-step problem

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  1. EXAMPLE 5 Solve a multi-step problem Trip Expenses Your art club is planning a bus trip to an art museum. The cost for renting a bus is $495, and the cost will be divided equally among the people who are going on the trip. A museum ticket costs $12.50 per person. • Write an equation that gives the cost C(in dollars per person) of the trip as a function of the number pof people going on the trip.

  2. EXAMPLE 5 Solve a multi-step problem • Graph the equation. Describe the change in the cost as the number of people increases. • Use the graph to approximate the number of people who need to go on the trip so that the cost is about $25 per person. SOLUTION Write a verbal model. Then write an equation. STEP 1

  3. + = 495 12.50 C P Graph C =+ 12.50 on a graphing calculator. The vertical asymptote is p = 0. The horizontal asymptote is C = 12.5. As the number of people increases, the cost decreases. 495 p EXAMPLE 5 Solve a multi-step problem STEP 2

  4. Approximate the number of people needed in order for the cost to be about $25. When C 25, the value of pis about 40. So, if about 40 people go on the trip, each person will pay about $25. EXAMPLE 5 Solve a multi-step problem STEP 3

  5. for Example 5 GUIDED PRACTICE 7. What If ?In Example 5, suppose the club rents a larger bus for $610. Write and graph an equation that gives the cost C(in dollars per person) of the trip as a function of the number pof people going on the trip. Then approximate the number of people who need to go on the trip so that the cost is about $25 per person.

  6. C =+ 12.50 610 p for Example 5 GUIDED PRACTICE ANSWER 49 people

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