Mathematics, 30.06.2019 10:00 nady82

Does each function describe exponential growth or decay? drag and drop the equations into the boxes to correctly complete the table. 20 points

Does each function describe exponential growth or decay? drag and drop the equations into the boxes

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Answer from: robert7248

Greetings!

Growth: Equation 2

Decay: Equation 1,3,4,5

Step-by-step explanation:

Anything that has a total value of below 1 before the power experiences exponential decay, as you are decreasing.

For the first one:

y = 100(0.5) , this is experiencing decay as multiplying the 0.5 by an increasing power will decrease the amount the 100 is multiplied with.

Second one:

y = 0.1(1.25) , this is displaying exponential growth because the value inside the brackets is higher than one, and whatever number this is multiplied with in the power it will increase.

Third one:

y = ((0.097) ^0.5 ) ^(2t) , is showing exponential decay because the amount inside the brackets (0.97) is constantly being multiplied with the 0.5 power, which decreases the number below one.

Fourth one:

This is showing decay because the number inside the brackets is lower than one.

Fifth one:

This is also showing decay because the number inside the brackets are lower than 1.

Hope this helps!

Answer from: sonyfan

Growth function = 2nd

Decay function = 1st, 3rd, 4th, 5th

Step-by-step explanation:

The general exponential function is

y=ab^x

where, a is the initial value and b is growth or decay factor.

If 0<b<1, then it is a decay function and if b>1, then it is a growth function.

In function 1,

$y=100(1-\frac{1}{2})^t$

It can be rewritten as

y=100(0.5)^t

Since b=0.5<1, therefore it is a decay function.

Similarly,

In function 2,

y=0.1(1.25)^t

b=1.25>1, therefore it is a growth function.

In function 3,

$y=((1-0.03)^{\frac{1}{2}})^{2t}=0.97^t$

b=0.97<1, therefore it is a decay function.

In function 4,

y=426(0.98)^t

b=0.98<1, therefore it is a decay function.

In function 5,

$y=2050(\frac{1}{2})^t=2050(0.5)^t$

b=0.5<1, therefore it is a decay function.

Therefore, only 2nd function is growth function and all other functions are decay function.

Answer from: Quest

need more detail

step-by-step explanation:

lele

Answer from: Quest

The answer of the question is x=0 and y= $\frac{8}{5}$

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