3.3 rates and slope intercept form ink.notebook. October 23, page 103. page 104. page Rates and Slope Intercept Form

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1 3.3 rates and slope intercept form ink.notebook page 103 page 104 page Rates and Slope Intercept Form Lesson Objectives 3.3 Rates and Slope-Intercept Form Press the tabs to view details. Standards Standards F.LE.1 F.LE.1 F.LE.1 S.ID.7 S.ID.7 S.ID.7 S.ID.7 Lesson Notes I will calculate the slope from 2 points I will calculate the slope from a table I will calculate the slope from a graph I will calculate the rate of change in a word problem I will interpret the rate of change in a word problem I will identify the rate of change from a graph and show that it is growing at a constant rate I will determine the rate of change from a table I will determine from a table if a function is linear I will identify the slope of a graph I will identify the slope from a linear equation I will interpret the rate of change in a word problem I will interpret the y intercept in a word problem Press the tabs to view details. 1

2 Lesson Objectives Press the tabs to view details. Standards Lesson Notes. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. F.LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions. a. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. y = m x + b y = mx + b the dependent variable (output) movement - slope or rate of change the independent variable (input) beginning (goes up or down) the y-intercept of the graph The pitch of a roof is the number of feet the roof rises for each 12 feet horizontally. If a roof has a pitch of 8, what is its slope expressed as a positive number? 50 words per min 8 dollars per day 2

3 3.3 rates and slope intercept form ink.notebook rate: find slope and label pick 2 ordered pairs x (years) y (dollars) y 2 - y x2 - x = $40 per year = equation: y = 40x Write an equation in slope intercept form from each table. (y = mx + b) M is the rate and b is the starting amount

4 3.3 rates and slope intercept form ink.notebook Write the equation of the line from each graph in slope intercept form Lisa decided to save money for college at a steady rate. a) What is Lisa s rate of savings? (unit rate and LABEL) b) How much money was in her account on week 5? c) How much money will she have saved on week 20? d) When will she reach $3100? 4

5 3.3 rates and slope intercept form ink.notebook Mike opened a savings account with a deposit of $50. Each week he deposited an additional $100. Complete the table and then plot the points and label each axis Algebra expression for balance after n weeks. Balance = Find the rate of change for each graph. Use Labels!!! On Your Whiteboards a) 8 ft per min 5

6 Write the equation of the line from each graph in slope intercept form. b) On the Worksheet 1. Find the rate of change for each graph. USE LABELS! 2. Homework Speed (mph) Minutes 6

7 3. Money Earned ($) Write an equation in slope intercept form from each table. (y = mx + b) M is the rate and b is the starting amount Hours Write an equation in slope intercept form from each table. (y = mx + b) M is the rate and b is the starting amount. 6. Write the equation of the line from each graph in slope intercept form

8 Write the equation of the line from each graph in slope intercept form When driving up a certain hill, you rise 15 feet for every 1000 feet you drive forward. What is the slope of the road? 11. Ken decided to save money for a car at a steady rate. a) What is Ken s rate of savings? (unit rate and LABEL) Lee opened a savings account with a deposit of $200. Each week he deposited an additional $50. Complete the table and then plot the points and label each axis b) How much money was in his account on week 3? c) How much money will he have saved on week 30? d) When will he reach $5000? 14. Algebra expression for balance after n weeks. Balance = 8

9 15. What was the annual rate of change from 1995 to 2003 for women competing in triathlons? Explain the meaning of the rate of change. Answers: 1) $1.50 per ice cream 3) $8 per hour 5) y = x 3 7) y = 2x )a) $100 per week b) $1500 c) y = 100x , $4200 d) 5000 = 100x , x = 38 weeks 15) women per year, Each year 1813 more women are competing in triathlons. 9

7.5 exponential growth and decay 2016 ink.notebook. February 13, Page 69. Page Exponential Growth and Decay. Standards.

7.5 exponential growth and decay 2016 ink.notebook. February 13, Page 69. Page Exponential Growth and Decay. Standards. 7.5 exponential growth and decay 2016 ink.notebook Page 69 Page 70 7.5 Exponential Growth and Decay Lesson Objectives Standards Lesson Notes Page 71 7.5 Exponential Growth and Decay Press the tabs to view

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