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LESSON 2.02: Scatterplots, Review of Independent and Dependent Variables and Using a Table of Values MFM1P

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1.Welcome back! 2.Data Analysis Assignments 3.Looking ahead!

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The value of the dependent variable, as its name implies, is determined by the value of the independent variable.

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Age and fitness levels Amount of sleep the night before a test and mark on the test Calories eaten per day and weight Height of grade 9 girls (cm) and the height of their mothers (cm) Money raised and number of cars washed

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Relationships between 2 variables can be represented by an equation, a table of values, and a graph. Example: Complete a table of values for y = -3x+10 Solution: To calculate each corresponding y value, substitute the given value of x. For x=1 y = -3(1)+10 y = -3(1)+10 y = -3+10 y = -3+10 y = 7 Therefore, the first point is (1, 7) y = 7 Therefore, the first point is (1, 7) For x=2 y= -3(2)+10 y= -3(2)+10 y = -6+10 y = -6+10 y = 4 Therefore, the next point is (2, 4) y = 4 Therefore, the next point is (2, 4) Continue for x=3, 4, and 5 Independent Dependent

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Jody works at a factory that produces square tiles for bathrooms and kitchens. She helps determine shipping costs by calculating the perimeter of each tile. The perimeter is determined by adding the lengths of the 4 sides of each tile.

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a) a)Calculate the perimeter and record your observations in a table of values. b) Describe what happens to the perimeter of each tile when the side length increases by one centimetre. c) Construct a graph of the perimeter of a tile vs. the side length of the tile. Length of side (cm) Perimeter (cm) 1 2 3 4 5

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Length of side (cm) Perimeter (cm) 1 2 3 4 5 REMEMBER TAILS! T – Title A – Axis I – Interval L – Labels S – Scale

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d) Which variable is the independent variable (side length or perimeter)? e) Which variable is the dependent variable(side length or perimeter)? f) Use the graph to describe the relationship between the perimeter and side length of a tile. g) Describe the shape of the graph.

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Jody’s is paid $8/hour to calculate perimeters. Calculate her pay and record your observations in a table of values.

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Hours of workPay ($) 1 2 3 4 5

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Hours of work Pay ($) 1 2 3 4 5 REMEMBER TAILS!

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a) Describe what happens to her pay when the number of hours she works increases by one hour. b) Construct a graph of her pay vs. the number of hours she works. c) Which variable is the independent variable? d) Which variable is the dependent variable? e) Use the graph to describe the relationship between her pay and the number of hours she works. f) Describe the shape of the graph.

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