Exponential Growth Chapter Review

p199 #2; p200 #7; p201 #10-13, 15; p202 #19, 23; p203 #26, 29, 30, 35, 36, 38, 40.

2. a) Exponential, common ratio = ½

b) Linear, common difference = 3 for every 2x

c) Exponential, common ratio = 1.5

d) neither, no common ratio or difference

e) Exponential, common ration = 2

7. a) y-int: 0.2, decay

b) y-int: 3.1, growth

c) y-int: 1.3, growth

d) y-int: 0.8, decay

10. a)

b)

11. a)

b)

“The concentration with be 8.92 μg/cm³ after 5 hours.”

12.

Equation	y-int	Asymptote	Growth or Decay
a)	(0, 2)	y = 1	growth
b)	(0, -3)	y = -5	decay
c)	(0, 23.4)	y = 3.4	growth
d)	(0, 0.8)	y = 0	decay

13. a) increasing

b) decreasing

c) decreasing

d) increasing

e) decreasing

f) decreasing

g) increasing

h) increasing

15. a) range:

b) range:

19. a)

b)

c)

d)

e)

23. a) x = 3, 2

b) x = -2, 0

c) x = 2

26. a)

b)

c)

29. a)

b)

Yuk! These are messy fractions…

c)

d)

30. a) x = 6, -1

b) x = 3/2

c) x = 81

d) x = ½, 0

e) x = 3/2

35. a)

b)

c)

d)

e)

f)

...or you could take the easy way out and use the change of base formula and a calculator.

36. a)

b)

c)

d)

e)

f)

g)

h)

38.

“It will take the fund 10.4 years to grow to $20,000”

40. a)

b) x = 0.822

c) x = 4, 8

d) x = 28.266, 1.734

e) x = 1, 0

f) x = 9

g) x = -1.243

h) x = 3.153

Stick a fork in me... I’m done already. If you have questions on any of these, see me on Monday.