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1. The number of students enrolled in a new course as a function of time can be represented by the function

𝑓(𝑥) = (4)x − 1 What is the average increase in the number of students enrolled per hour between hours 2 and 4? 

 

2. The value of a boat, in dollars, x years after its purchase is represented by the function
𝑓(𝑥) = 10,000(0.73)x What is the average decrease in value per year between years 1 and 2? 

 

3.

 

4. 

Exponential or Linear
a. A library has 8000 books, and is adding 500 more books each year. __________________________

b. You ask for a penny the first day and to double the amount each day for 30 days. ________________

c. There are 30,000 owls in the wild. Every decade, the number of owls is halved. __________________ 

 Dec 1, 2017
 #1
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1. Avg Rate of Change  is

 

[ f(4)  - f(2)] / [ 4 - 2 ]   =

 

[ (4^4 - 1) - (4^2 - 1) ]  / [ 2 ]

 

[  256   -  16  ]   /  2 =

 

240  /  2   =

 

120 per hour

 

2.  Avg Rate of Decrease

 

[ f(2)  - f(1) ] /  [ 2 - 1]

 

[ 10000(.73)^2  - 10000(.73)^1]  / 2  =

 

[ 5329 - 7300]  / 2 =

 

[ -1971 ] / 2  =

 

- 985.5 per year

 

 

3.  Linear   .... y changes by 1.5  when x changes by 1

     Exponential  ....the function is   2x

     Linear     ......y changes by  20   when x changes by 2

     Neither..... there appears  to be no linear or exponential relationship between x and y

 

4.   a. Linear      b. Exponential      c. Exponential

 

 

cool cool cool

 Dec 1, 2017

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