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#35995

applications

functions

exponential

hard

120 sec

Town A has a current population of $8, 000$ and its population is growing at an annual rate of $6%$ . Town B has a current population of $12, 000$ and its population is growing at an annual rate of $3%$ . Which of the following equations can be used to find the number of years, $t$ , it will take for the population of Town A to be equal to the population of Town B?

A.

$8, 000 (0.06)^{t} = 12, 000 (0.03)^{t}$

B.

$8, 000 (1.06)^{t} = 12, 000 (1.03)^{t}$

C.

$8, 000 + 0.06 t = 12, 000 + 0.03 t$

D.

$8, 000 (1.06)^{t} = 12, 000 (0.97)^{t}$