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

What is the general model for exponential growth and exponential decay, and what do the parameters represent?

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

정답

$f(t) = a(1 + r)^t = a \cdot b^t$ for growth ($b > 1$, where $r$ is the percent growth rate as a decimal), and $f(t) = a(1 - r)^t = a \cdot b^t$ for decay ($0 < b < 1$).

해설

The parameter $a$ is the initial value at $t = 0$ (the y-intercept), and $b$ is the growth or decay factor per unit time.

AI 생성 콘텐츠 · 감수: Ada