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Unit 1 Modeling with Linear Equations Learning Goal: I can model real-life situations using linear equations.

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Presentation on theme: "Unit 1 Modeling with Linear Equations Learning Goal: I can model real-life situations using linear equations."— Presentation transcript:

1 Unit 1 Modeling with Linear Equations Learning Goal: I can model real-life situations using linear equations

2 Warm-Up: Graph of the Day What are the y-intercepts for the yellow cab and the blue cab? What do these values represent. You miss the bus and need to take a cab 5km to school; which cab should you choose? If you wanted to travel as far as possible with $6, which cab should you choose?

3 Linear Systems Many real-life situations can be modeled using linear equations. When 2 or more equations are used, it is called a system of equations. If all of the equations are linear, its called a linear system.

4 Linear Systems The solution to a linear system is an ordered pair that satisfies all equations Graphically, the solution is the point where two lines intersect

5 Modeling with Linear Equations At the zoo gift shop, posters of polar bears are $1 and poster of penguins are $6. Charles spent $32 to buy 7 posters, how many of each did he buy? Let x represent the number of polar bear posters Let y represent the number of penguin posters

6 Modeling with Linear Equations Jamie went out to her grandfather's farm. Her grandfather has pigs and chickens on his farm. She noticed that there were a total of 26 heads and 68 feet among them. How many chickens and how many pigs did her grandfather have?

7 Modeling with Linear Equations Yasmin has $8000 to invest and would like to earn $500 from the money. How much should she invest in a stock that has been paying 10% annual return and how much should she invest in savings bonds that pay 4% annual interest?

8 Modeling with Linear Systems José travelled 95km from Oakville to Oshawa by car and GO train. The car averaged 60km/h, and the train averaged 90km/h. The whole trip took 1.5h. How long was he in the car? In the train?

9 Homework Pg # 7, 10, 19, 23, 26 Just define variables and write 2 equations; you dont need to solve.


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