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Module 1 lesson 8

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Module 1 Lesson 8.notebook 1 September 22, 2015 Representing Proportional Relationships with Equations 09/22/15 Module 1, Lesson 8 Homework: Lesson 8 Problem Set #1, 3, 4, 5 Do Now Exit Ticket from Lesson 7 Quiz 1 Tuesday 9/29
Module 1 Lesson 8.notebook 2 September 22, 2015 Lesson 7 Exit Ticket Solution
Module 1 Lesson 8.notebook 3 September 22, 2015 S.27
Module 1 Lesson 8.notebook 4 September 22, 2015 Problem Set Solutions (continued) S.27
Module 1 Lesson 8.notebook 5 September 22, 2015 Problem Set Solutions (continued) S.27
Module 1 Lesson 8.notebook 6 September 22, 2015 S.28
Module 1 Lesson 8.notebook 7 September 22, 2015 S.29
Module 1 Lesson 8.notebook 8 September 22, 2015 a. Find the constant of proportionality and explain what it represents in this situation. Gallons Miles Driven y x 8 224 10 280 4 112 The constant of proportionality is _________. The Car travels ______ miles for every one gallon of gas.
Module 1 Lesson 8.notebook 9 September 22, 2015 b. Write the equation that will relate the miles driven to the number of gallons of gas. Steps to figure out the equation. 1. Which unit is the dependent variable? 2. Which unit is the independent variable? 3. Find the k. Constant of Proportionality = k = 4. Plug in the value of k to y = kx. ­The constant x is known as the independent  variable and  y as the dependent variable,.
Module 1 Lesson 8.notebook 10 September 22, 2015 c. Knowing that there is a half gallon left in the gas tank when the light comes on, will she make it to the nearest gas station? Explain why or why not. Using Arithmetic Using Algebra d. Using the equation found in part b, determine how far your mother can travel on 18 gallons of gas. Solve the problem in two ways.
Module 1 Lesson 8.notebook 11 September 22, 2015 e. Using the equation found in part b, determine how many gallons of gas would be needed to travel 750 miles.
Module 1 Lesson 8.notebook 12 September 22, 2015 a. Write several ordered pairs from the graph and explain what each coordinate pair means in the context of this graph. S.30 (0,0) ‐ It takes Andrea 0 hours to draw 0 portraits (2,3) ‐ It takes Andrea 2 hours to draw 4 portraits (4,6) ‐ It takes Andrea 4 hours to draw 6 portraits (6,9) ‐ It takes Andrea 6 hours to draw 9 portraits Tap
Module 1 Lesson 8.notebook 13 September 22, 2015 b. Write several equations that would relate the number of portraits drawn to the time spent drawing the portraits. c. Determine the constant of proportionality and explain what it means in this situation.
Module 1 Lesson 8.notebook 14 September 22, 2015 Problem Set S.31
Module 1 Lesson 8.notebook 15 September 22, 2015 Problem Set S.32
Module 1 Lesson 8.notebook 16 September 22, 2015
Module 1 Lesson 8.notebook 17 September 22, 2015 Closing Question How can unit rate be used to write an equation relating two variables that are proportional? The unit rate is the constant of proportionality, k. After computing the value for k, it may be substituted in place of k in the equation y = kx. The constant of proportionality can be multiplied by the independent variable to find the dependent variable, and the dependent variable can be divided by the constant of proportionality to find the dependent variables.
Module 1 Lesson 8.notebook 18 September 22, 2015

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Module 1 lesson 8