Does the function model exponential growth or decay? g(t)=1.7*0.8^(t) Choose 1 answer: (A) Growth (B) Decay

Identify base: Step 1: Identify the base of the exponential function. In the function g(t)=1.7*0.8^(t), the base of the exponent is 0.8. Determine growth or decay: Step 2: Determine if the base is greater than 1 or less than 1. If the base is greater than 1, the function models exponential growth. If the base is less than 1, the function models exponential decay. Compare base to 1: Step 3: Compare the base 0.8 to 1. Since 0.8 is less than 1, the function g(t)=1.7*0.8^(t) models exponential decay. Choose correct answer: Step 4: Choose the correct answer based on the analysis. Since the base is less than 1, the function represents decay, not growth.

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Does the function model exponential growth or decay?

g(t)=1.7*0.8^(t)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay? $\newline$ $g(t)=1.7 \cdot 0.8^{t}$ $\newline$ 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

g(t)=1.7 \cdot 0.8^{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 $g(t)=1.7\times 0.8^{t}$ , the base of the exponent is $0.8$ .
Determine growth or decay: Step $2$ : Determine if the base is greater than $1$ or less than $1$ . If the base is greater than $1$ , the function models exponential growth. If the base is less than $1$ , the function models exponential decay.
Compare base to $1$ : Step $3$ : Compare the base $0.8$ to $1$ . Since $0.8$ is less than $1$ , the function $g(t)=1.7\times 0.8^{t}$ models exponential decay.
Choose correct answer: Step $4$ : Choose the correct answer based on the analysis. Since the base is less than $1$ , the function represents decay, not growth.