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. __________________

Guest Dec 1, 2017

#1**+1 **

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 2^{x}

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

CPhill
Dec 1, 2017