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2.5B Create an Equation, Table and Graph

2.5B Create an Equation, Table and Graph. In this lesson you will create an equation, table, and graph from a verbal representation . Let’s Review. Slope-intercept form: y = mx + b. Slope (rate of change). y -intercept (initial value). y = -1.5x + 2. Let’s Review.

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2.5B Create an Equation, Table and Graph

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  1. 2.5B Create an Equation, Table and Graph

  2. In this lesson you will create an equation, table, and graph from a verbal representation

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

  4. Let’s Review A linear function has a constantrate of change (slope) and an initial value (y-intercept). 1 – 0 1 5 – 2 3 y = 3x + 2 31

  5. Example1: Create an equation, table, and graph from a verbal representation A wild animal park opens with 100 antelope and the population grows by 5 antelope every year. y-intercept Slope y = 100 + 5x

  6. Example 1- continued Construct (write) a numeric representation from the verbal representation. y = + x Y-intercept 1 – 0 105 - 100 5 1 5 1 Slope = =5 100 5

  7. Example 1 continued Construct (write) a algebraic function from the graphic representation. y = + x 10 10 y-intercept Slope = 5 2 2 5 100

  8. Example 2: Create an equation, table, and graph from a verbal representation. Joan’s aunt agreed to loan Joan $500 to buy a used car as long as Joan pays back $50 per month.

  9. Joan’s Aunt agrees to loan Joan $500 to buy a used car as long as Joan pays back $50 per month. slope = 50 Slope “indicator” y = 50x - 500 y-intercept = -500

  10. Joan’s Aunt agrees to loan Joan $500 to buy a used car as long as Joan pays back $50 per month. y-intercept 1 - 0 =1 slope 50= -450 - -500 0 -500 1 -450 2 -400 3 -350

  11. Joan’s Aunt agrees to loan Joan $500 to buy a used car as long as Joan pays back $50 per month.

  12. Practice Example 1: Linda begins the year with $200 in her bank account. Each month, she deposits $50. Create an equation, table, and graph from this verbal representation .

  13. Practice Example 2: • A parachutist is 500 feet above the ground. After she opens her parachute, she falls at a constant rate of 25 feet per second. • Create the equation, table, and graph for the scenario.

  14. Practice Example 3: Construct an algebraic equation using the graph provided below. 25 5

  15. Homework: Problems 1-9

  16. Homework Problem 1: • Construct an algebraic equation for each of the given representations. a 50 b 10 c • Multiply x by 0.6 and add 7

  17. Homework Problem 2: • Write an algebraic equation for this scenario. Make a table to help before you write it. • Parking Lot Prices Entrance fee . . . $3.00 • Each hour . . . $1.50

  18. Homework Problem 3 Jordan’s movie rental company charges a monthly fee of $5.00 plus an additional cost of $1.25 per movie rental. Which of these equations represents the total monthly cost (c) of renting (x) movies? C = 1.25x + 5.00 C = 3.75x + 5.00 C = 5.00x + 1.25 C = 5.00x + 3.75

  19. Homework Problem 4: Which is the graph of y = -3x + 5 ? b d a c

  20. Homework Problem 5 • Match each equation to its table. • y = -4x - 3 • y = -3x - 4 • y = -3 + 4x

  21. Homework Problem 6 A restaurant charges $160 for a room and $10 per person for food and drinks. Which table is correct for this situation? a b c d

  22. Homework Problem 7 :Another restaurant charges $150 for a room and $10 per person for food and drinks. Which is the correct graph? a b c d

  23. Homework Problem8: Thomas is 300 miles away from home. He drives 50 miles per hour. Create an equation, table, and graph to represent this situation.

  24. Homework Problem 9: • We had 15 inches of snow. It snowed at a rate of 5 inches per hour. • Create an equation, table, and graph for the scenario. 

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