Algebra 1 boot camp Functions and Modeling Day

Algebra 1 boot camp Functions and Modeling Day 2

MAFS. 912. F-BF. 2. 3

MAFS. 912. F-BF. 2. 3 A. B. C. D. Horizontal shift left 1 unit. Vertical shift down 1 unit. Vertical stretch by a factor of 1. Vertical shift up 1 unit.

MAFS. 912. F-BF. 2. 3

MAFS. 912. F-BF. 2. 3 The coordinate plane below shows the graph of �� (�� ) after a transformation of �� (�� −ℎ) is performed. Which statement about �� (�� −ℎ) is true?

MAFS. 912. F-BF. 2. 3

MAFS. 912. F-BF. 2. 3 x y 0 10 1 15 2 45 3 225

MAFS. 912. F-BF. 2. 3

MAFS. 912. F-IF. 1. 2

MAFS. 912. F-IF. 1. 2 A. the population of the town in 2006 B. the population of the town in 2015 C. the percent change in the population of the town between 2006 and 2015 D. the rate of change in the population of the town between 2006 and 2015

MAFS. 912. F-IF. 1. 2 A. the hours Lee will work per week B. the hourly rate Lee will be paid at his new job C. the amount of money in dollars Lee will earn for working 5 hours D. the amount of money in dollars Lee will earn for working 8 hours

MAFS. 912. F-IF. 1. 2 A. 16 feet B. 24 feet C. 176 feet D. 200 feet

MAFS. 912. F-IF. 1. 2 Use the function given to answer the question below

MAFS. 912. F-IF. 1. 2 A. 37. 27 B. 27. 16 C. 17. 06 D. 10. 11

MAFS. 912. F-IF. 1. 2 A. The population was 103, 196 people in 2009 B. The population was 123, 835 people in 2010 C. There was an increase of 20, 639 people from 2009 to 2010. D. There was an increase of 227, 031 people from 2009 to 2010.

MAFS. 912. F-IF. 1. 1 A B C D

MAFS. 912. F-IF. 1. 1 The table at right represents a relation of ordered pairs. What changes need to be made to the table so that it would represent a function? -1 -2 0 -2 1 4 9 1 1 0 A. Arrange the �� -coordinates in descending order B. Replace all negative �� -coordinates with positive values C. Replace (− 2, 1) with (2, 1) D. Replace (1, 0) with (− 1, 0)

MAFS. 912. F-IF. 1. 1 A function is shown in the table below. -4 -1 0 3 2 -4 -2 16

MAFS. 912. F-IF. 1. 1

MAFS. 912. F-IF. 1. 1 The graphs below show different information about the weather in a large city in the U. S. for one week in May. Determine whether each graph represents the given quantity as a function of time. TRUE Graph A represents temperature as a function of time. Graph B represents amount of accumulated precipitation as a function of time. Graph C represents the solar intensity as a function of time. FALSE

MAFS. 912. F-IF. 2. 5 A. all whole numbers B. all non-negative rational numbers C. all non-negative integers that are multiples of 5 D. all non-negative integers less than or equal to 500

MAFS. 912. F-IF. 2. 5 Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.

MAFS. 912. F-IF. 2. 5

MAFS. 912. F-IF. 2. 4 0 1 2 3 4 28, 000 26, 250 24, 500 22, 750 21, 000

MAFS. 912. F-IF. 2. 4 Jim borrowed $850 to purchase a stereo system for his car. He has been making payments each week for the last four weeks. The chart below shows the history of his loan balance. Week Original Price 2 4 Balance of Loan $850 $700 $550

MAFS. 912. F-IF. 2. 4 Over Spring Break, Xavier decided to track the number of rabbits he saw in his yard each day. He recorded his observations in the table at right. Let �� represent days, and �� (�� ) represent the total number of rabbits Xavier saw on day ��. Select all intervals for which �� (�� ) is increasing: 1 2 3 4 5 6 7 12 14 18 13 15 19 14

MAFS. 912. F-IF. 2. 4 Shane is filling a barrel with water. The table below shows the amount of water in the barrel after different amounts of time. Time (seconds) 1 2 4 Amount of Water (cubic inches) 25 32 46 Assuming Shane filled the barrel at a constant rate, how much water was initially in the barrel? A. B. C. D. 18 cubic inches 16 cubic inches 14 cubic inches 12 cubic inches

MAFS. 912. F-IF. 2. 4 A. B. C. D. 3 seconds 4. 5 seconds 7. 5 seconds 12 seconds

MAFS. 912. F-IF. 3. 9

MAFS. 912. F-IF. 3. 9 Let �� (�� ) and �� (�� ) both be linear functions: �� (�� ) has a slope of − 3 and a �� intercept of (0, 9), and �� (�� ) is represented in the table below. Choose the correct interval for which both functions have a positive output. �� (�� ) -3 -2 -1 0 1 -10 -8 -6 -4 -2

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits? A. $100 per deposit B. $50 per deposit C. $0. 50 per deposit D. $2 per deposit

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 The graph below shows the total number of fish that a fisherman caught over a 5 week time period. What was the average rate of change in the number of fish caught per week between weeks 2 and 5? A. about 13 fish per week B. about 18 fish per week C. about 32 fish per week D. about 40 fish per week

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 A. 12 B. 20 C. 60 D. 80

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 q 14. 0 q 11. 25 q 7 q 10. 5 q bacteria per hour q hour per bacteria

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 Fredrick recorded the temperature on five separate days during the month of July. The data is shown in the table below. Date in July Temperature 1 6 10 18 29 89°F 93°F 91°F 95°F 97°F Between which two dates did the temperature increase at the fastest rate? A. B. C. D. 1 and 6 6 and 10 10 and 18 18 and 29

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 The table below shows the charge for different numbers of shirts from an online website. The company charges a cost per shirt and a setup fee per order. 100 $345 125 $363 150 $354 175 $339 A. B. C. D. the cost per shirt the setup fee the number of shirts ordered the maximum cost of an order

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 Anna is studying body proportions for a science project. She measured the height and head circumference of 10 people in her class. The results are shown in the table below. Height (inches) 60 67 68 62 71 70 65 66 Head Circumference (inches) 8. 5 9. 0 10. 5 10. 0 8. 5 10. 0 9. 5 What is the meaning of the slope of the line of best fit for the data?

MAFS. 912. F-IF. 2. 6 and MAFS. 912. S-ID. 3. 7 A. The slope is 6. This means that the average number of birds per acre in an area with no trees is 6. The y-intercept is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre. B. The slope is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre. The y-intercept is 6. The average number of birds per acre in an area with no trees is 6. C. The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. The average number of birds per acre in an area with no trees is 4. D. The slope is 4. This means that the average number of birds per acre in an area with no trees is 4. The y-intercept is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. C

MAFS. 912. F-IF. 3. 8 a

MAFS. 912. F-IF. 3. 8 a A. 17 units B. 18 units C. 19 units D. 20 units

MAFS. 912. F-IF. 3. 8 a

MAFS. 912. F-IF. 3. 8 b

MAFS. 912. F-IF. 3. 8 b Part B: What is the rate of growth or decay?

MAFS. 912. A-APR. 2. 3 Which of the following polynomial functions could have the graph shown?

MAFS. 912. A-APR. 2. 3 A B C D

MAFS. 912. F-IF. 3. 7 a and MAFS. 912. F-IF. 3. 7 e A B C D

MAFS. 912. F-IF. 3. 7 a and MAFS. 912. F-IF. 3. 7 e

MAFS. 912. F-LE. 1. 1 a, b, c A student claimed that the function shown in the table is exponential. Do you agree or disagree? Explain. 1 0 2 1 4 2 8 3 16 4

MAFS. 912. F-LE. 1. 1 a, b, c The graph shows the value of two different shares of stock over a period of 8 years. Select all that apply to this situation. q The model shows that the graph of Stock A is an exponential growth model with the initial value of $4. 00 and a growth factor of 0. 75. q The value of Stock B is going down over time. The initial value of Stock B is higher than the initial value of Stock A. However, after about 2 years, the value of Stock A becomes more than the value of Stock B. q The model shows that the graph of Stock B is an exponential decay model with the initial value of $12. 00 and a decay factor of 0. 75. q The model shows that the graph of Stock A is an exponential growth model with the initial value of $4. 00 and a growth factor of 1. 25. q The model shows that the graph of Stock B is an exponential decay model with the initial value of $12. 00 and a decay factor of 1. 25. q The model shows that Stock B will double its initial value in about 3 years.

MAFS. 912. F-LE. 1. 1 a, b, c Consider the following table: -3 0 3 6 9 -10 -8 -6 -4 -2

MAFS. 912. F-LE. 2. 5 A. B. C. D. the delivery charge per load the total delivery charge the total cost of the bricks the cost per brick D

MAFS. 912. F-LE. 2. 5 B

MAFS. 912. F-LE. 2. 5

MAFS. 912. F-LE. 1. 2 Which function is represented by the input-output table below? 1 3 6 8 5 11 20 26

MAFS. 912. F-LE. 1. 2 Categorize each of the following situations as either a linear or an exponential model. Linear A savings account accumulates no interest but receives a deposit of $500 each month. The value of a house increases by 1. 5% per year. The temperature increases by 4°�� every hour from 8: 00 a. m. to 3: 00 p. m. one day during July. Every 240 minutes, 14 of the rat population dies. Each month, there are 5 fewer bales of alfalfa in the barn Exponential

MAFS. 912. F-LE. 1. 2 Which function is represented by the input-output table below? 1 3 6 8 5 11 20 26 A

MAFS. 912. F-LE. 1. 2 D

MAFS. 912. F-LE. 1. 2 The starting annual salary for an office worker at a company is $29, 000. If the company awards an annual increase of 6. 2%, which graph models this situation after the office worker receives x annual increases? A B C D

MAFS. 912. F-LE. 1. 2 A bacteria population starts at 1, 496 and decreases by 10% every day. Which of the following represents the number of bacteria present each day? Select all that apply.

MAFS. 912. F-BF. 1. 1 a

MAFS. 912. F-BF. 1. 1 a The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

MAFS. 912. F-BF. 1. 1 a A toy is made up of cylindrical rings stacked on a base, as shown in the diagram. The diameter of Ring 1 is 87% of the diameter of the base. For Ring 2 through Ring 7, the diameter of each ring is 87% of the diameter of the ring directly below it.

MAFS. 912. F-BF. 1. 1 b and c

MAFS. 912. F-IF. 1. 3 The graph shows the first five terms of an arithmetic sequence whose domain is the positive integers.

MAFS. 912. F-IF. 1. 3 Consider a sequence whose first five terms are: 6, 12, 24, 48, 96. Select the function, with domain n = {1, 2, 3, 4, 5}, that defines this sequence.

MAFS. 912. F-LE. 1. 3 Which choice could be modeled by an exponential function? A. the speed of a car that is decreasing by 3 mph every minute B. the number of push-ups a person does each day if the number of push-ups increases by 2 each day C. the amount a person gets paid if the person’s pay increases by 2 percent each year D. the number of students in a class if no students join or leave the class

MAFS. 912. F-LE. 1. 3 John invested $550 each in two different accounts for five years. The table below shows the amount in each account at the end of each year. State how the quantities are increasing in each account. Explain.

MAFS. 912. F-LE. 1. 3