Lesson 9 - Pg. 115# 18, 31 and 39 - Writing Exponential Formulas

Lesson 9 - 3.2 # 18 - Find formula given a graph of an exponential with points .

Using

And for a:

Formula is

Lesson 9 - 3.2 # 31 - Given the graph of an exponential increasing function of P = f(t) that shows the balance of an account with the points .

(a) Formula is

(b) Initial value is

(c) rate is r = 0.20112 or 20.112%

Lesson 9 - 3.2 # 39 - Comparing two exponential populations:

(a) Find P0 for human population given

(40, 13,000,000) and rate of 8% growth per year: Solve for P0 in

P0 = 598,402.133 or about 598,403

(b) Find black bear population when t = 40 if P0 = 11,000 and decline by 6% per year.

So find .

(c) Black bear population will be 100 when?

Solve for t in .

Ans t = 76 years or 1953 + 76 => the year 2029

See graphic solution

Graphic solution y = 100 and y = 11000(0.94)x