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홈 / 라이브러리 / Digital SAT Math: Algebra, Advanced Math & Geometry / AI 플래시카드

How does changing the time exponent to $\frac{t}{k}$ affect an exponential model $f(t) = a \cdot b^{t/k}$?

덱 'Digital SAT Math: Algebra, Advanced Math & Geometry'의 플래시카드.

정답

The value multiplies by factor $b$ every $k$ units of time (e.g., $f(t) = 100(2)^{t/3}$ doubles every 3 hours).

해설

Digital SAT questions frequently ask to convert annual growth rates to monthly rates: $(1 + r)^t = ((1 + r)^{1/12})^{12t}$, where the monthly growth factor is $(1 + r)^{1/12}$.

AI 생성 콘텐츠 · 감수: Ada