Does the function model exponential growth or decay? f(t)=5*((3)/(7))^(t) Choose 1 answer: (A) Growth (B) Decay

Identify base: Step 1: Identify the base of the exponential function. In the function f(t)=5*((3)/(7))^t, the base is (3/7). Determine growth/decay: Step 2: Determine if the base is greater than 1 or less than 1. A base greater than 1 indicates exponential growth, while a base less than 1 indicates exponential decay. Base analysis: Step 3: Since (3/7) is less than 1, the function represents exponential decay. Choose function: Step 4: Choose the correct answer based on the analysis. The function f(t)=5*((3)/(7))^t models exponential decay.

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Does the function model exponential growth or decay?

f(t)=5*((3)/(7))^(t)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay? $\newline$ $f(t)=5 \cdot\left(\frac{3}{7}\right)^{t}$ $\newline$ Choose $1$ answer: $\newline$ (A) Growth $\newline$ (B) Decay

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Algebra 2

Interpret the exponential function word problem

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Q. Does the function model exponential growth or decay?

\newline

f(t)=5 \cdot\left(\frac{3}{7}\right)^{t}

\newline

Choose

1

answer:

\newline

(A) Growth

\newline

(B) Decay

Identify base: Step $1$ : Identify the base of the exponential function. In the function $f(t)=5\left(\frac{3}{7}\right)^t$ , the base is $\frac{3}{7}$ .
Determine growth/decay: Step $2$ : Determine if the base is greater than $1$ or less than $1$ . A base greater than $1$ indicates exponential growth, while a base less than $1$ indicates exponential decay.
Base analysis: Step $3$ : Since $(\frac{3}{7})$ is less than $1$ , the function represents exponential decay.
Choose function: Step $4$ : Choose the correct answer based on the analysis. The function $f(t)=5\times\left(\frac{3}{7}\right)^t$ models exponential decay.