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  • 01-02-2022
  • Mathematics
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Find the equation of the exponential function represented by the table below:

Find the equation of the exponential function represented by the table below class=

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arrowfighter333
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  • 01-02-2022

Answer:

[tex]y=0.1(4)^x[/tex]

Step-by-step explanation:

Exponential functions are represented by the formula [tex]y=a(b)^x[/tex], where a is the initial value, and b is the multiplier.

Here, we can see that when x = 0, or our initial value, y = 0.1.

Thus, a = 0.1.

Since b is the multiplier, or like the slope, we can do 0.4/0.1 and get 4 for our multiplier.

Now plug everything into the formula [tex]y=a(b)^x\\y=0.1(4)^x[/tex]

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