Which of the following statements about the graph of y=12(0.75)^(x) is true? Choose 1 answer: (A) As x increases, y increases at an increasing rate. (B) As x increases, y increases at a decreasing rate. (C) As x increases, y decreases at an increasing rate. (D) As x increases, y decreases at a decreasing rate.

Analyze Function: We need to analyze the function y=12(0.75)^(x) to determine how y changes as x increases. The base of the exponential function is 0.75, which is between 0 and 1.Identify Exponential Decay: Since the base 0.75 is less than 1, the function represents exponential decay. This means that as x increases, the value of y will decrease.Determine Rate of Change: Now we need to determine the rate of change of y as x increases. For an exponential decay function where the base is between 0 and 1, as x increases, y decreases at a decreasing rate. This is because each time x increases by 1, y is multiplied by the same factor of 0.75, which results in a smaller and smaller decrease in y.Conclusion: Therefore, the correct statement about the graph of y=12(0.75)^(x) is that as x increases, y decreases at a decreasing rate.

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Which of the following statements about the graph of
y=12(0.75)^(x) is true?
Choose 1 answer:
(A) As
x increases,
y increases at an increasing rate.
(B) As
x increases,
y increases at a decreasing rate.
(C) As
x increases,
y decreases at an increasing rate.
(D) As
x increases,
y decreases at a decreasing rate.

Which of the following statements about the graph of $y=12(0.75)^{x}$ is true? $\newline$ Choose $1$ answer: $\newline$ (A) As $x$ increases, $y$ increases at an increasing rate. $\newline$ (B) As $x$ increases, $y$ increases at a decreasing rate. $\newline$ (C) As $x$ increases, $y$ decreases at an increasing rate. $\newline$ (D) As $x$ increases, $y$ decreases at a decreasing rate.

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Q. Which of the following statements about the graph of

y=12(0.75)^{x}

is true?

\newline

Choose

1

answer:

\newline

(A) As

x

increases,

y

increases at an increasing rate.

\newline

(B) As

x

increases,

y

increases at a decreasing rate.

\newline

x

increases,

y

decreases at an increasing rate.

\newline

(D) As

x

increases,

y

decreases at a decreasing rate.

Analyze Function: We need to analyze the function $y=12(0.75)^{x}$ to determine how $y$ changes as $x$ increases. The base of the exponential function is $0.75$ , which is between $0$ and $1$ .
Identify Exponential Decay: Since the base $0.75$ is less than $1$ , the function represents exponential decay. This means that as $x$ increases, the value of $y$ will decrease.
Determine Rate of Change: Now we need to determine the rate of change of $y$ as $x$ increases. For an exponential decay function where the base is between $0$ and $1$ , as $x$ increases, $y$ decreases at a decreasing rate. This is because each time $x$ increases by $1$ , $y$ is multiplied by the same factor of $0.75$ , which results in a smaller and smaller decrease in $y$ .
Conclusion: Therefore, the correct statement about the graph of $y=12(0.75)^{x}$ is that as $x$ increases, $y$ decreases at a decreasing rate.