Does the function model exponential growth or decay? h(t)=0.25*1.5^(t) Choose 1 answer: (A) Growth (B) Decay

Determine Base of Exponent: Step 1: To determine whether the function models exponential growth or decay, we need to look at the base of the exponent. The function is given as h(t)=0.25*1.5^(t). The base of the exponent is 1.5. Identify Growth or Decay: Step 2: If the base of the exponent is greater than 1, the function models exponential growth. If the base is between 0 and 1, the function models exponential decay. Confirm Exponential Growth: Step 3: Since the base of the exponent in the function h(t)=0.25*1.5^(t) is 1.5, which is greater than 1, the function models exponential growth.

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Does the function model exponential growth or decay?

h(t)=0.25*1.5^(t)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay? $\newline$ $h(t)=0.25 \cdot 1.5^{t}$ $\newline$ 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

h(t)=0.25 \cdot 1.5^{t}

\newline

Choose

1

answer:

\newline

(A) Growth

\newline

(B) Decay

Determine Base of Exponent: Step $1$ : To determine whether the function models exponential growth or decay, we need to look at the base of the exponent. The function is given as $h(t)=0.25\times1.5^{t}$ . The base of the exponent is $1.5$ .
Identify Growth or Decay: Step $2$ : If the base of the exponent is greater than $1$ , the function models exponential growth. If the base is between $0$ and $1$ , the function models exponential decay.
Confirm Exponential Growth: Step $3$ : Since the base of the exponent in the function $h(t)=0.25\times1.5^{t}$ is $1.5$ , which is greater than $1$ , the function models exponential growth.