Question

PLEASE HELP! ASAP!

Answer 1

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.

Answer 2

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