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Name:__________ warm-up 2-3 Are these functions: f(x) = 10 - 5x g(x) = x4 – 5 h(x, y) = 2xy What are the answers to the essential questions?

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WATER PRESSURE The linear function P(d) = 62.5d + 2117 can be used to find the pressure (lb/ft2) d feet below the surface of the water. a. Find the pressure at a depth of 350 feet. The term 2117 in the function represents the atmospheric pressure at the surface of the water. How many times as great is the pressure at a depth of 350 feet as the pressure at the surface? At what depth is the pressure 33,367 lb/ft2?

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Details of the Day EQ: Why are both equations and inequalities needed to describe the solutions to a real- world problem? What are the different ways that slope can be used to represent various concepts? I will be able to… Activities: Warm-up Review homework Notes: 2-3 Rate of Change Quiz – 2-1&2-2 Class work/ HW Vocabulary: Rate of Change Slope. Find rate of change. Determine the slope of a line.

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Slope SlopeSlopeSlopeSlopeSlopeSlopeSlopeSlope SlopeSlopeSlopeSlopeSlopeSlopeSlopeSlopeSlope

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A Quick Review Are these functions: f(x) = 10 - 5x g(x) = x4 – 5 h(x, y) = 2xy What are the answers to the essential questions?

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A Quick Review WATER PRESSURE The linear function P(d) = 62.5d + 2117 can be used to find the pressure (lb/ft2) d feet below the surface of the water. a. Find the pressure at a depth of 350 feet. The term 2117 in the function represents the atmospheric pressure at the surface of the water. How many times as great is the pressure at a depth of 350 feet as the pressure at the surface? At what depth is the pressure 33,367 lb/ft2?

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Notes and examples

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COLLEGE ADMISSIONS In 2004, 56,878 students applied to UCLA. In 2006, 60,291 students applied. Find the rate of change in the number of students applying for admission from 2004 to 2006. Find the rate of change for the data in the table.

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Notes and examples BUSINESS Refer to the graph below, which shows data on the fastest-growing restaurant chain in the U.S. during the time period of the graph. Find the rate of change of the number of stores from 2001 to 2006.

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Notes and examples A. Find the slope of the line that passes through: (–1, 4) and (1, –2) B. Find the slope of the line that passes through (9, –3) and (2, 7) C. Find the slope of the line that passes through (5, 4) and (3, 4) D. Find the slope of the line that passes through (–2, 0) and (–2, 4)

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Notes and examples A. Find the slope of the line shown in the graph. B. Find the slope of the line shown in the graph.

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Practice Slope Intercept Form:

Practice Slope Intercept Form:

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