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. __________________
+128406 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
