2. Let the function Prepresent the population in billions of a country P (t) and represented by the model P (t) = 1.39 (1.006). Select all of the statements that are true. a. The starting population in 2013 was 1.39 billion. b. In 2031 the population will be approximately 1.55 billion. c. The annual growth rate is 6%. d. Another way to represent the model is P (t) = 1.390.006t

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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2. Let the function Prepresent the population in billions of a country P (t) and represented by the
model P (t) = 1.39 (1.006) . Select all of the statements that are true.
a. The starting population in 2013 was 1.39 billion.
b. In 2031 the population will be approximately 1.55 billion.
c. The annual growth rate is 6%.
d. Another way to represent the model is P (t) = 1.39 · e0.006t
3. A population of cicadas is modeled by a function defined by f(w) = 250 • e(0.5w) where w
is the number of weeks since the population was first measured.
a. Rewrite the equation 500 = 250 · e0.5w to isolate w.
b. What does w mean in this context?
c. How many weeks does it take for the cicada population to double? Show your reasoning.
Transcribed Image Text:2. Let the function Prepresent the population in billions of a country P (t) and represented by the model P (t) = 1.39 (1.006) . Select all of the statements that are true. a. The starting population in 2013 was 1.39 billion. b. In 2031 the population will be approximately 1.55 billion. c. The annual growth rate is 6%. d. Another way to represent the model is P (t) = 1.39 · e0.006t 3. A population of cicadas is modeled by a function defined by f(w) = 250 • e(0.5w) where w is the number of weeks since the population was first measured. a. Rewrite the equation 500 = 250 · e0.5w to isolate w. b. What does w mean in this context? c. How many weeks does it take for the cicada population to double? Show your reasoning.
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