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SAT Math Practice Question #6439 - SATify | SATify

#6439

functions

exponential

modeling

unit conversion

algebra

word problem

substitution

rational exponents

medium

60 sec

Calculator OK

$p (t) = 90, 000 (1.06)^{t}$
The given function $p$ models the population of Lowell $t$ years after a census. Which of the following functions best models the population of Lowell $m$ months after the census?

A.

$r (m) = \frac{90 , 000}{12} (1.06)^{m}$

B.

$r (m) = 90, 000 (\frac{1.06}{12})^{m}$

C.

$r (m) = 90, 000 (\frac{1.06}{12})^{\frac{m}{12}}$

D.

$r (m) = 90, 000 (1.06)^{\frac{m}{12}}$