Advanced Algebra Chapter 2 Linear Relations and Functions

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## Advanced Algebra Chapter 2 Linear Relations and Functions

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**Advanced AlgebraChapter 2Linear Relations and Functions**2.3 Rate of Change & Slope Warm Up (2.2 Linear Relations and Functions)**-9**• -8 • -2 • 2 Response Grid 10 Countdown**2**• -4 • 0 • -2 Response Grid 10 Countdown**20 + 6n**• 31n • 15 +5n • 11n +20 Response Grid 10 Countdown**20 + 6n**• 31n • 15 +5n • 11n +20 Response Grid 10 Countdown**20 + 6n**• 31n • 15 +5n • 11n +20 Response Grid 10 Countdown**Target Goals: I can 1.2.**Find rate of change. Determine the slope of a line. RATE OF CHANGE – Rate of change is a ratio that compares how much one quantity changes, on average, relative to the change in another quantity. If x is the independent variable and y is the dependent variable, then**Ex 1) 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.(HINT: What is independent and what is dependent?)**Ex 2) You volunteered to take a shift selling Homecoming**tickets during your morning study hall. When your shift began at 11:00 am, 50 tickets had been sold. At 11:40 am, when your shift ended, 84 tickets had been sold. At what rate did you sell homecomingtickets?**SLOPE – The slope of a line is the ratio of the change in**y-coordinates to the corresponding change in the x-coordinates. ***It is the same as its rate of change! It is the steepness of the line. Ex 4) Find the slope of the line that passes through (-1, 4) and (1, -2).**1. What is the length of in the triangle to the right.**A 15 B. 13 C. 11 D. 10 E. 14**2. Keith calculated that his average test score in Physics**was an 89. He used 5 test scores to calculate the average including the test scores 96, 83, 85, and 94. What was Keith’s score on the other test? A. 83 B. 87 C. 89 D. 91 E. 96