Exponential Equations DO NOT REMOVE 550 Exponential Equations “SPIN TO WIN”! 800 500 300 500 600 5000 600 300 700 450 350 800 300 400 600 900 300 500 900 300 400

$550 c A new car that sells for $44,000 depreciates 25% each year. Write the equation that models the value of the car. y= 44000 (1.25)x y= 44000−(0.75)x y= 44000(0.75)x y= 0.75 (44000)x NEXT ANSWER c BACK

$800 The bear population in a given area is increasing at a rate of 2% per year. The population is currently about 1580. If this trend continues what it is predicted population after 8 years? Round to the nearest whole number. 1344 6793.7 1744 1851 NEXT d ANSWER BACK

$500 a Which exponential function is shown in the graph? y= ( 𝟏 𝟑 )x NEXT ANSWER a BACK

$300 b Which functions model Exponential decay? y= 0.5 (5)x NEXT ANSWER b BACK

$500 b y= 5(2)x y= 5 (0.5)x y= 5x y= 0.5 (5)x The table below contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship? y= 5(2)x y= 5 (0.5)x y= 5x y= 0.5 (5)x x y -2 20 -1 10 5 1 2.5 NEXT b BACK ANSWER

$600 a y= 6(5)x y= 5(6)x y= 6x y= 3(5)x The table below contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship? y= 6(5)x y= 5(6)x y= 6x y= 3(5)x x y -2 0.24 -1 1.2 6 1 30 NEXT a BACK ANSWER

$5000 Joana is hiring her son to point the garage. She has given him two options of paying him. She estimate the job will take 8 hours and she will pay him when the job is completed. Which option is the best? Option A: $15 per hours. Option B: First 3 hour 3$ and then she will double this for each hour until the job is done. NEXT Option b ANSWER BACK

$600 An investment of $65,000 is increasing a rate of 3.2% per year. The investment continues at this rate for 8 years. Find the value of the investment after 8 years. 83628 599108 2971.56 50109 NEXT a ANSWER BACK

$300 b Which functions model exponential decay? y= 0.5 ( 𝟓 𝟐 )x NEXT b ANSWER BACK

$700 a Which exponential function is shown in the graph? y= 10 ( 𝟏 𝟐 )x y= -2 (10)x y= -10( 𝟏 𝟐 )x y= 10 (2)x NEXT ANSWER a BACK

$450 A new phone valued at $650 depreciates at a rate of 34.3% per year. What is the value of the computer after 3 years? 970 64 26.23 184 NEXT d ANSWER BACK

$350 c Which exponential function is shown in the graph? y= ( 𝟏 𝟐 )x NEXT ANSWER c BACK

$800 If the number of bacteria in a colony doubles every 13 hours and there is currently a population of 100,000 bacteria, what will the population be 26 hours from now? 400,000 2,600,000 1,300,000 800,000 NEXT ANSWER a BACK

$300 The table below contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship? x y -2 230.4 -1 76.8 25.6 1 8.53 y= 8.53(3)x y= 8.53 ( 𝟏 𝟑 )x y= 25.6 ( 𝟏 𝟑 )x y= 𝟏 𝟑 (25.6)x NEXT c ANSWER BACK

$400 a Which exponential function is shown in the graph? y= 100 ( 𝟏 𝟐 )x y= 𝟏 𝟐 (100)x y= 100 ( 𝟏 𝟑 )x y= 𝟏 𝟑 (𝟏𝟎𝟎)x NEXT ANSWER a BACK

$600 Each year the local country club sponsor a tennis tournament. Play starts with 128 participant. During each round, half of the players are eliminated. How many players remain after 5 round? 4 2 6 8 NEXT a BACK ANSWER

$900 b y= 6191 (0.4)x y= 6191(1.04)x y= 6191 (1.4)x y= 6191(0.04)x The population of Winnemucca, Nevada was 6191 in 1990 and started increasing at a rate of 4% each year. What is the equation that can model the population for the following years? y= 6191 (0.4)x y= 6191(1.04)x y= 6191 (1.4)x y= 6191(0.04)x b ANSWER NEXT BACK

$300 What graph shows exponential growth? A) B) C) NEXT ANSWER B BACK

$500 The table below contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship? y= 5(2)x y= 5 (5)x y= 2x y= 5x x y 1 5 2 25 3 125 NEXT d BACK ANSWER

$900 a y= 500(0.96)x y= 500(1.04)x y= 500(0.4)x y= 500(0.04)x A 500 mL puddle of water is evaporating at a rate of 4% per hour. Write a function that represents the amount of water in the puddle at a given time. Use x for hours and y for the amount of water left in the puddle. y= 500(0.96)x y= 500(1.04)x y= 500(0.4)x y= 500(0.04)x a ANSWER NEXT BACK

$300 d Given the equation y = 1.4(1.03)x What statement is true? The graph shows exponential decay and the rate of decay is 1.4 The graph shows exponential growth and the rate of growth is 1.4 The graph shows exponential decay and the rate of decay is 1.03 The graph shows exponential growth and the rate of growth is 1.03 NEXT BACK ANSWER d

$400 b Given the equation y = 𝟏 𝟐 (5)x What statement is true? The graph shows exponential decay and the rate of decay is 𝟏 𝟐 The graph shows exponential growth and the rate of growth is 5 The graph shows exponential decay and the rate of decay is 5 The graph shows exponential growth and the rate of growth is 𝟏 𝟐 NEXT BACK ANSWER b

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