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SAT Math Practice Question #7438 - SATify | SATify

#7438

algebra

functions

substitution

exponential

word problem

rational exponents

modeling

unit conversion

medium

60 sec

Calculator OK

The function $P (t) = 50, 000 (1.04)^{t}$ models the population of a town $t$ years after the year 2000. Which of the following functions best models the population of the town $m$ months after the year 2000?

A.

$R (m) = 50, 000 (1.04/12)^{m}$

B.

$R (m) = 50, 000 (1.04)^{12 m}$

C.

$R (m) = 50, 000 (1.04)^{\frac{m}{12}}$

D.

$R (m) = 50, 000/12 (1.04)^{m}$