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sashaice [31]
4 years ago
11

PLEASE HELP! ASAP!

Mathematics
2 answers:
Alexandra [31]4 years ago
6 0

Answer:

Option C - f(x)=(0.5)(0.2)^x      

Step-by-step explanation:

Given : The table of an exponential function.

To find : Which exponential function is represented by the table?

Solution :

First we create an exponential from the given table by taking any two values.

The general form of an exponential f(x)=ab^x      

Now, putting values from the table,

x=-2 and f(x)=12.5

12.5=ab^{-2}  ....[1]    '

x=-1 and f(x)=2.5

2.5=ab^{-1}  ....[2]        

Now, dividing [1] and [2]          

\frac{12.5}{2.5}=\frac{ab^{-2}}{ab^{-1}}

5=b^{-1}

b=\frac{1}{5}          

b=0.2

Substitute in [2]    

2.5=a(0.2)^{-1}

a=2.5\times 0.2

a=0.5

So, The exponential function with a=0.5 and b=0.2 is

f(x)=(0.5)(0.2)^x

Therefore, Option C is correct.

sergiy2304 [10]4 years ago
3 0

C should be the answer, don't quote me on that though

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