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How do you make an equation, table, and graph from a description? Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays back $50.

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Presentation on theme: "How do you make an equation, table, and graph from a description? Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays back $50."— Presentation transcript:

1 How do you make an equation, table, and graph from a description? Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays back $50 per month.

2 In this lesson you will learn how to create an equation, table, and graph by using a contextual situation.

3 Let’s Review Slope-intercept form: y = mx + b Slope (rate of change) Y-intercept (initial value) Slope-intercept form: y = -1.5x + 2 Slope (rate of change) Y-intercept (initial value)

4 Let’s Review A Common Mistake An ice cream cup is $2.00 plus $0.50 for each additional topping. Initial value = 0.50Incorrect! Initial value = 2.00 It happens 1 time, with 0 toppings!

5 Let’s Review Core Lesson Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays back $50 per month. Slope “indicator” Slope = 50 Y-intercept = -500 y = 50x - 500

6 Let’s Review Core Lesson x (months) y (remaining debt) 0 -500 Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays back $50 per month. 1 -450 2 -400 3 -350 -450 - -5001 - 0 y-intercept 501 slope

7 Let’s Review Core Lesson Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays back $50 per month. slope scale y-intercept

8 In this lesson you have learned how to create an equation, table, and graph by using a contextual situation.

9 Let’s Review Guided Practice Linda begins the year with $200 in her bank account. Each month, she deposits $40. Create the equation, table, and graph.

10 Let’s Review Extension Activities A parachutist is 500 feet above the ground. After she opens her parachute, she falls at a constant rate of 5 feet per second. Create the equation, table, and graph for the scenario.

11 Let’s Review Extension Activities Drag the equation to match its table. y = -4x - 3y = -3 + 4xy = -3x - 4 xy -48 -22 2-10 xy -4-19 -2-11 -7 25 xy -413 -25 1 2-11

12 Let’s Review Quick Quiz A restaurant charges $150 for a room and $10 per person for food and drinks. What is the correct table? xy 1$150 3$200 6$250 10$300 xy 1$160 3$460 6$910 10$1510 xy 1$160 3$210 6$270 10$350 xy 1$160 3$180 6$210 10$250

13 Let’s Review Quick Quiz A restaurant charges $150 for a room and $10 per person for food and drinks. What is the correct graph?


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