Find the equation of the exponential function represented by the table below:
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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]