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Inessa05 [86]
3 years ago
16

Which function represents exponential decay?

Mathematics
2 answers:
n200080 [17]3 years ago
8 0
<h2>Answer:</h2>

Option: D is the correct answer.

         D)  f(x)=4\cdot (\dfrac{2}{3})^x

<h2>Step-by-step explanation:</h2>

We know that a exponential function is in general represented by:

       f(x)=ab^x

where a>0 and b is called the base of the function and x is the exponent.

and if b>1 then the function is a exponential growth function

and 0<b<1 then the function is a exponential decay function.

A)

f(x)=\dfrac{1}{2}\cdot (\dfrac{3}{2})^x

This is a exponential growth function.

Since,

b=\dfrac{3}{2}>1

B)

f(x)=\dfrac{1}{2}\cdot (\dfrac{-3}{2})^x

This is not a exponential function because b is not strictly greater than zero.

C)

f(x)=4\cdot (\dfrac{-2}{3})^x

This is also not a exponential function because b is not strictly greater than zero.

D)

f(x)=4\cdot (\dfrac{2}{3})^x

This is a exponential decay function.

Because it fulfills the condition of the exponential decay function.

Since,

b=\dfrac{2}{3}

Zigmanuir [339]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Exponential decay occurs when the base is less than 1 but greater than 0.

3/2 = 1.5 and is greater than 1.

-3/2 is not greater than 0 and is not exponential

-2/3 is not greater than 0 and is not exponential

2/3 is less than 1 and greater than 0. This is decay.

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Answer:

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Step-by-step explanation:

Solve the following system:

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Subtract 1/3 × (equation 1) from equation 2:

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Multiply equation 2 by 3:

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Divide equation 2 by 20:

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0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

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Answer:  {x = -7/40 , y = -11/20

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The percent change in attendance, relative to last year's show is a 5% increase.

<h3>What is a percentage? </h3>

A Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

<h3>What is the percentage change in attendance? </h3>

The value of the percentage change in attendance can be determined by subtracting the number of people in this year's show from the number of people at last year's show. The result would be divided by the number of people at last year's show and multiplied by 100.

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