1. E-5.6: Homework E-5.8: Homework

2. Answers to pg: 167
a. P(0) = 1000
b. The petri dish started (on day 0) with 1000 bacteria
c. The y-intercept the initial value
d. 𝑃 𝑑 =1000∗ 2 𝑥
e. 𝑃 1 =1000∗ 2 7 =1000∗128=128,000 𝑏𝑎𝑐𝑡𝑒𝑟𝑖𝑎

3. Answers to pg: 168
2.a. V(0)=25,000 b. 88% c. 𝑉 𝑛 =25,000∗ 0.88 𝑥 d. 𝑉 10 =25,000∗ =2, This means 10 years after buying the car, the car is worth $2,083.94

4. Answers to pg: 169
3.a. 𝑀 𝑛 =100∗ 1.2 𝑛 b. Constant ratio is % => = 1.2 The “1” represents the money already in the container and the “0.2” represents the amount of money being added to the container that month c. 𝑀 12 =100∗ = This means that at the end of 12 months (1 year) you have saved $891.61

5. Answers to pg: 170
4. a. D(1)=1.5 This means the height of the first domino that is placed after the initial domino is 1.5 inches b. 𝐷 𝑛 =1∗ 1.5 𝑛 c. 𝐷 10 =1∗ = This means the height of the 10th domino after the initial domino is placed is ” d. 184*12=2208 inches e. 2208=1∗ 1.5 𝑛 **Guess and check** D(17)= and D(18)= Since the domino can knock something over that 1.5 times as large then the domino height must be (2208/1.5) 1472 inches so the 18th domino after the initial value will be able to knock down the height of the Aloha Tower building.

6. Answers to pg: 173-174 f(x)= 5 9 ∗ 3 𝑥 2. 𝑓 𝑥 =− 9 2 ∗ 4 3 𝑥
2. 𝑓 𝑥 =− 9 2 ∗ 𝑥
3. 𝑓 𝑥 =400∗ 𝑥 𝑜𝑟 𝑓 𝑥 =400∗ 0.1 𝑥
4. 𝑓 𝑥 =5𝑥−11
Part 2: Explicit: 𝑓 𝑥 =2𝑥 Recursive: 𝑓 𝑥 =𝑓 𝑥−1 +2
𝑓 𝑥 =− 3 2 𝑥− is the only one with a slope of -3/2 and is in explicit form

7. Answers to pg:
5. ℎ 𝑥 =2∗ℎ(𝑥−1) Both use f(x) and f(x-1) but linear is +m and exponential is a* 𝑓 𝑥 =32∗ 1 4 𝑥

8. Answers to pg: 177 8. a. f(1)=0.003 f(4)=3 f(-1)0.00003 f(-2)=0.000003
B. p(1)= P(3)=37
P(4)= p(-1)=0.0037
C. g(1)=4/9 g(3)=1
g(4)= 3/ g(-1) = 16/81

9. Answers to pg: 178 9. explicit: 𝑟 𝑥 =4∗ 3 𝑥 recursive: 𝑟 𝑥 =3∗𝑟 𝑥−1
10. a. yes, constant ratio is 7
b. No, constant ratio is 1/7
c. yes, constant ratio is 7 (7/1=7)
d. No, constant ratio is 49
11. f(4.538)=22
f(5.538)=11
f(2.538)=88