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Which equations represent exponential growth?

Which equations represent exponential decay?


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Would really appreciate it will mark brainliest Which equations represent exponential growth Which equations represent exponential decay Drag the choices into t class=

Respuesta :

Exponential growth would include, A = 20,000(1.08)^t, A=40(30), P=1700(1.07).

Decay would include, A=80(1/2)^t, A= 1600(.8), P=1700(.93)

Hope this helps.

Answer:

Exponential growth function--

  • [tex]A=20,000(1.08)^t[/tex]

( Since, 1.08>1)

  • [tex]A=40(3)^t[/tex]

( Since, 3>1)

  • [tex]P=1700(1.07)^t[/tex]

( Since, 1.07>1)

Exponential decay function--

  • [tex]A=80(\dfrac{1}{2})^t[/tex]

( Since, 1/2=0.5<1)

  • [tex]A=1600(0.8)^t[/tex]

( Since, 0.8<1)

  • [tex]P=1700(0.93)^t[/tex]

( Since, 0.93<1)

Step-by-step explanation:

We know that the general exponential function is given by:

                         [tex]y=ab^x[/tex]

where a is the initial amount.

and if b>1 then the function  represents a exponential growth function.

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

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