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A package of tennis balls contains 3 tennis balls. The number of tennis balls and the number of packages are in a proportional linear relationship. This.

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Presentation on theme: "A package of tennis balls contains 3 tennis balls. The number of tennis balls and the number of packages are in a proportional linear relationship. This."— Presentation transcript:

1 A package of tennis balls contains 3 tennis balls. The number of tennis balls and the number of packages are in a proportional linear relationship. This situation can be modeled by y = 3x. Graph the equation. 1

2 A phone company charges an installation fee to install a land line at a residence. There is also a monthly fee for the phone service. The total costs for Months 2, 4, 6, and 8 are $145, $255, $365, and $475, respectively. How much is the installation fee? Assume that the relationship between the two quantities is linear. 2

3 Ella checks out a book from the library. She does not read any pages that day. Starting the next day, she reads the same number of pages each day. The graph shows the number of pages Ella has left to read to finish the book. Determine the number of pages in the book. 3

4 Jane and Marcus are running in a marathon. Jane's average speed can be represented by the equation y = 6x where x is the number of hours and y is the number of miles. The graph shows the average speed Marcus runs. Graph Jane’s run then Compare the average speeds for Jane and Marcus. 4

5 Graph the Function y=-x-2 5

6 6

7 ​A red hot air balloon is at an altitude of 260 feet above the ground. It is descending at a rate of 9 feet per minute. A green hot air balloon is at an altitude of 75 feet and is ascending at a rate of 7 feet per minute. Write an inequality that’s represents the number of minutes it will take for the green hot air balloon to have a greater altitude than the red hot air balloon. 7

8 Make a graph that matches the situation: An ant can walk 3 yards in 5 minutes. 8

9 The table below shows the different sizes of a bedrooms in a given floor plan. All of the bedrooms have the same width. Make a graph that shows the correct correlation between the length and area of the bedrooms. 9

10 Write a situation that can be represented as a proportional relationship. Write a situation that can be represented as a non-proportional relationship. 10

11 Write an equation that corresponds to the table. 11

12 In many parades, flowers are used to decorate the floats. The table below shows the number of flowers used in each row of a parade float. Write an equation to match the data given in the table. 12

13 Solve for y, then graph. 5x-4y=12 13

14 A computer technician charges $50 to come to a customer’s home to repair a computer. In addition, the technician charges $100 for each hour she works. Write an equation that can be used to determine C, the total charge in dollars for a computer repair at a customer’s home that takes h hours? 14

15 Tank A has 100 gallons of water and loses 2 gallons per hour. Tank B has 140 gallons and loses 6 gallons per hour. When will the tanks have the same amount of water? Write an equation that can be represented by the situation. 15

16 One-third Kaylee’s age increased by 12 is equal to twice her age decreased by 3. How old is Kaylee? 16

17 The sum of one-half of a number and 6 is one- third of the number. What is the number? 17

18 Four times a number is equal to six times a number plus four. What is the value of x? 18

19 You want to borrow some money from Bank of America to buy a new car. You have two options available and need to decide which option will cost less money. Option 1: Principle $20,000 Rate 4.5% time 36 months Option 2: Principle $20,000 Rate 6% time 24 months What is the difference between the interest of Option 1 and Option 2? 19


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