b) What happens after 6.5 minutes? Review Test 6 AKS 41

Transcription

1 Review Test 6 Name AKS 41 f ; f ; ; ; 2 0 Interpret the graph. A student commutes from home or school be walking and by riding a bus. Describe the students commute in words. a) What happens between minutes 4 and 6.5? b) What happens after 6.5 minutes? AKS 45 Identify the function as being a Linear Growth/Decay or an Eponential Growth/Decay, and write the formula if possible. 1. f f f f()

2 f() Sity bacteria were placed in a petri dish. The number of bacteria in the dish doubles every hour. Write an equation for the total number of bacteria as a function of the number of hours. 8. You have $247 in your savings account, and you make withdrawals of $20 per week. Write an equation for the total amount in savings as a function of the number of weeks. 9. Put the following tables in order from lowest rate of change to the highest rate of change. a. b. c. X X Y Y X Y AKS 53,54 1 st : Identify whether the table represents a function with a constant rate of change (linear function) or a percentage rate of change (eponential function). 2 nd : Then calculate the value for the constant rate of change or the percentage change, depending on the situation. 3 rd : Write the function rule for the table. 1) CONSTANT RATE PERCENTAGE RATE OF CHANGE (circle one) f() f() = 2) CONSTANT RATE PERCENTAGE RATE OF CHANGE (circle one) f() =

3 f() ) CONSTANT RATE PERCENTAGE RATE OF CHANGE (circle one) f() f() = 4) CONSTANT RATE PERCENTAGE RATE OF CHANGE (circle one) f() f() = AKS 55,56 (Questions 1-4) Identify each situation as being A. Linear Growth B. Linear Decline C. Eponential Growth D. Eponential Decay and also graph the function. 1) f( )

4 2) 2 f ( ) 4 5 3) f ( ) 2 3 4) 1 f( ) 3 3 (Questions 5-9) Write the function rule from the information given. 5) The number of students in marching band in 2010 was 180 and has increased at a rate of 2% each year. Write an equation for total enrollment as a function of the number of years since 2010.

5 f() = 6) A new computer costs $800 when purchased in The value of the computer will depreciate 15% each year. Write an equation for the total value of the computer as a function of the number of years since f() = 7) You have $200 in your school lunch account at the beginning of the school year. You don t buy any lunches, but you do use your account to purchase an ice cream every day at the cost of $1.50. Write an equation for the total amount in your account as a function of the number of ice creams purchased. f() = 8) To get to the airport, Tyler was charged a $5 flat fee plus $3.50 per mile for the tai ride. Write an equation for the total cost of the tai ride as a function of the number of miles to the airport. f() = 9) The number of students enrolled in freshman orientation in 2010 was 20 and has doubled each year since. Write an equation for total enrollment as a function of the number of years since f() = AKS The function, f( ) 5000(1.09), models the number of season ticket holders for University of Georgia basketball after number of years growing by a percentage each year since a. What is the meaning of the 5000 in the contet of this function? b. What is the meaning of the 1.09 in the contet of this function? 2. The function f ( ) 3 10, models the number of football cards of Atlanta Falcons players Steven has in his collection after purchasing packages of cards. a. What is the meaning of the 3 in the contet of this function?

6 b. What is the meaning of the 10 in the contet of this function? 3. The function f models the resale value of an XBo after years. a. What is the meaning of the 300 in the contet of this function? b. What is the meaning of the 0.70 in the contet of this function? 4. The function f() = models the number of miles remaining to get to the beach vacation site after driving hours. a. What is the meaning of the 300 in the contet of this function? b. What is the meaning of the 65 in the contet of this function? 5. The function f( ) 25(2) models the number of apps Sheldon has accumulated on his phone over months. a. What is the meaning of the 25 in the contet of this function? b. What is the meaning of the 2 in the contet of this function?