Lesson 9 - Added Problem Pg. 115 #29

Lesson 9 - 3.3 #29a Given population growth is linear with t = 0 has 2002 and P(7) = 3.21 millions and P(13) = 3.75 millions)

Find a possible formula P = mt + P0

Using any of 2 points say (7, 3.21) Find b

Possible linear formula is

Since the slope if 0.09, the population grows by 0.09 million people each year.

Lesson 9 - 3.3 #29b Given population growth is exponential with t = 0 has 2002 and P(7) = 3.21 millions and P(13) = 3.75 millions)

Find a possible formula P = P0 (b)t

Find b: P(7) = ab7 = 3.21 and

P(13) = ab13 = 3.75

Use any of 2 pts to find P0 :

Possible exponential formula is

Since the rate, r is 0.026, the population is growing at a rate of 2.6% each year.