1. Section 1-3 Problem Solving Objectives: Solve problems by using a diagram Solve problems by trial and error Solve problems involving money Solve problems by using calculation

2. Example 1: Solving a Problem by Using a Diagram A gardener is asked to plant eight tomato plants that are 18 inches tall in a straight line with 2 feet between each plant. How much space is needed between the first plant and the last one?

3. Extra Example 1 Suppose you want to cut a 4-foot party sub into 10 pieces. How many cuts do you need to make?

4. Example 2: Solving a Perimeter Problem A campus group is setting up a rectangular area for a tailgate. They have 100 feet between two roads to use as width and 440 feet of fence to use. What length will use up the total amount of fence and enclose the biggest space?

5. Extra Example 2 A rectangular poster promoting the tailgate in Example 2 is restricted to 10 inches in width to fit bulletin board restrictions. The printer suggests a perimeter of 56 inches for maximum savings in terms of setup. How tall will the posters be?

6. Example 3: Solving a Problem Using Trial and Error Suppose that you have 10 coins consisting of quarters and dimes. If you have a total of $1.90, find the number of each type of coin.

7. Extra Example 3 Michelle bought some 42-cent stamps and some 59-cent stamps. If she bought a total of seven stamps and spent a total of $3.45, how many of each kind did she buy?

8. Example 4: Solving a Problem Involving Salary So you’ve graduated from college and you’re ready for that first real job. In fact, you have two offers. One pays an hourly wage of $19.20 per hour, with a 40-hour work week. You work for 50 weeks and get 2 weeks’ paid vacation. The second offer is a salaried position, offering $41,000 per year. Which job will pay more?

9. Extra Example 4 A condo on the water in Myrtle Beach can be rented for $280 per day, with a nonrefundable application fee of $50. Another one down the beach can be rented for $2,100 per week. Which condo costs less for a week’s stay?

10. Example 5: Solving a Problem Using Calculation A 150-pound person walking briskly for 1 mile can burn about 100 calories. How many miles per day would the person have to walk to lose 1 pound in 1 week. It is necessary to burn 3,500 calories to lose 1 pound.

11. Example 6: Solving a Problem Using Calculation For a party at a certain restaurant there is a flat fee of $125 to rent the banquet room plus a charge of $18 per person attending. How much will the party cost if 104 people attend?

12. Extra Example 6 If it costs $35.00 per day and $0.25 per mile to rent a car, how much will it cost a person to rent a car for a 2-day, 300-mile round trip?

13. Homework P. 32 #5, 8, 11, 12, 13, 18, 20, 23, 25, 28