City A has population and

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

City A has population

P(0)=200{,}000

and

P(10)=260{,}000

. City B has population

Q(0)=200{,}000

and

Q(10)=240{,}000

. Both populations follow exponential growth models. Which of the following correctly compares their growth constants

k_P

and

k_Q

? (a)

k_P=k_Q

(b)

k_P>k_Q

(c)

k_P<k_Q

(d) Both

k_P

and

k_Q

are negative.