Unit 1.2: Black Box. Name: Per: Score:

Transcription

1 Unit 1.2: Black Box Name: Per: Score: Unit 1.2 Big Ideas I can create an equation to represent a set of inputs and outputs create an equation and table from a graph create an equation and graph from a table create a table, graph, and equation from a scenario create an equation to represent a sequence create and solve an equation for a written scenario

2 Assignments: Complete Partial Incomplete Black Box 1 Ο Ο Ο p3 o Black Box 2 Ο Ο Ο p4 Find the Function (p.1) Ο Ο Ο p5 o Find the Function (p.2) Ο Ο Ο p6 o Find the Function (p.3) Ο Ο Ο p7 Desmos: Graphing ( no paper) Ο Ο Ο o Positive/Negative Review Ο Ο Ο p8 In Class Multiple Reps ( no paper ) Ο Ο Ο o Create an Equation Ο Ο Ο p9 Practice Multiple Represent. Ο Ο Ο p10 Solving (p.1) Ο Ο Ο p11 o Solving (p.2) Ο Ο Ο p12 Scrambled Tables (p.1) Ο Ο Ο p13 o Scrambled Tables (p.2) Ο Ο Ο p14 o Scrambled Tables (p.3) Ο Ο Ο p15 What s My Rule Ο Ο Ο p16

3 Algebra 1, Section 1.4 Student Notes: Black Box #1 Equation Story f x Input Output Rule (words) 3 2 Input Output Equation f x Rule (words) Story

4 Algebra 1, Section 1.4 Student Notes: Black Box #3 Equation Story f x Input Output Rule (words) 4 #4 Input Output Equation f x Rule (words) Story

5 Find the Function 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. input x output y First, rewrite the table vertically to the right of the graph below. Graph the data below, then use the graph to help you complete the table. Be sure to label the scale for your y-axis. (You don t need to label every tick mark.) y x Write a function to match this table here: Which is the correct y-value for the x-value 25? a. 51 c. not here e. 45 b. 47 d. 53 f. 43 5

6 2. input x output y First, rewrite the table vertically to the right of the graph below. Graph the data below, then use the graph to help you complete the table. Be sure to label the scale for your y-axis. (You don t need to label every tick mark.) y x Write a function to match this table here: Which is the correct y-value for the x-value 27? a. 30 c. 31 e. 26 b. 32 d. 33 f. not here 6

7 3. input x output y First, rewrite the table vertically to the right of the graph below. Graph the data below, then use the graph to help you complete the table. Be sure to label the scale for your y-axis. (You don t need to label every tick mark.) y x Write a function to match this table here: Which is the correct y-value for the x-value 21? a. 19 c. 18 e. 15 b. 22 d. not here f. 21 7

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10 Multiple Representations Learning Target: I can make connections among a function represented with an expression or equation, as a graph, in a table, or in words. Given one of the representations below, find the other three. table graph equation description input output input output input output c(x) 1 3 x 1 input output The students in Ms. Chang s class decide to order water bottles that advertise the walkathon. "Bottles by Bob" charges $25 plus $3 per bottle. CMP 10

11 Solving y = mx + b for x (p. 1) Name: Per: Date: 1. Suppose Danielle pays a $50 application fee to start working out at the gym. She also pays $15 per month to maintain her membership. a. Write an equation relating y (the total cost) to x (the number of months) b. Suppose Danielle stays at this gym for 23 months. What is the total cost? Show complete work: c. Suppose Danielle can only spend a total of $300 on the gym. How many months can she afford? Show the equation and complete algebra steps. 2. Suppose Danielle pays a $42.25 application fee to start working out at the gym. She also pays $12.75 per month to maintain her membership. a. Write an equation relating y (the total cost) to x (the number of months) b. Suppose Danielle stays at this gym for 19 months. What is the total cost? Show complete work: c. Suppose Danielle can only spend a total of $ on the gym. How many months can she afford? Show the equation and complete algebra steps. 3. Suppose Marselline pays a $45 fee per month for her cell phone. She also pays $0.15 per text. a. Write an equation relating y (the total cost in a month) to x (the number of texts). b. Suppose Marselline makes 63 texts in month. What is the total cost? Show complete work: c. Suppose Marselline can only spend a total of $75.00 during the month. How many texts can she afford? Show the equation and complete algebra steps. 11

12 Solving y = mx + b for x (p. 2) 4. Suppose Mark bought a plant that was 15 centimeters tall, and it grew 2.3 centimeters per month. a. Write an equation relating y (the total height) to x (the number of months) b. Suppose Mark measures the plant after 23 months. What should be the height? Show complete work: c. Suppose Mark's windowsill is only 110 centimeters tall. How many months can the plant grow until it grows past the height of the windowsill? Show the equation and complete algebra steps. 5. Suppose Jerome pays $45.95 down to purchase a couch. He also pays $18.75 per month to pay it off. a. Write an equation relating y (the total cost) to x (the number of months) b. Suppose Jerome pays for 17 months. What is the total payment so far? Show complete work: c. Suppose the total cost of the couch is $ How many months will it take for Jerome to complete payment? Show the equation and complete algebra steps. 6. Suppose Elena pays $12.95 to put an electronic gaming system on layaway. She also pays $19.50 per month to continue paying for the gaming system. a. Write an equation relating y (the total cost) to x (the number of months) b. Suppose Elena pays on the system for 5 months. What is the total payment so far? Show complete work: c. Suppose the gaming system costs $ How many months will it take to pay it off? Show the equation and complete algebra steps. 12

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