Marks: --/1 The population of a community is known to increase at a rate proport

Question

Marks: --/1 The population of a community is known to increase at a rate proportional to the number of people present at time t. If the population of a town doubles in 14 years, how long will it take for the population to triple? Choose one answer. a. 18.2 years
b. 24.2 years
c. 22.2 years
d. 23.2 years
e. 20.2 years Marks: --/1 The population of a community is known to increase at a rate proportional to the number of people present at time t. If the population of a town doubles in 14 years, how long will it take for the population to triple? Choose one answer. a. 18.2 years
b. 24.2 years
c. 22.2 years
d. 23.2 years
e. 20.2 years The population of a community is known to increase at a rate proportional to the number of people present at time t. If the population of a town doubles in 14 years, how long will it take for the population to triple? Choose one answer. a. 18.2 years
b. 24.2 years
c. 22.2 years
d. 23.2 years
e. 20.2 years Choose one answer. a. 18.2 years
b. 24.2 years
c. 22.2 years
d. 23.2 years
e. 20.2 years

Explanation / Answer

y= e^rt

2= e^14r

14r= ln 2

r= ln2 /14

So y = e^(ln2.14) t

3= e^ (ln2/14)*t

t = ln 3/ (ln2/14)=

t= 22.2 (c)

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