Compute the missing data in the table for the following exponential function . Leave your answer in decimal form. x

1

2

3

4

5

6

7

y

0.5

0.25

0.125

0.0625

?

0.01563

0.00781

        

a.

0.03753

c.

0.03125

b.

0.0379

d.

0.03951

Option C: 0.03125

Step-by-step explanation:

we have an exponential equation, so we have:

f(x) = A*r^x

we have that:

f(1) = A*r^1 = A*r = 0.5

f(2) = A*r^2 = 0.25

f(3) = A*r^3 = 0.125

f(4) = A*r^4 = 0.0625

f(5) = A*r^5 = ?

we want to find the value f(5)

first, let's take the quotient:

f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.

then we have:

f(x) = A*0.5^x

and f(1) = A*0.5 = 0.5

then A = 0.5/0.5 = 1.

now we know that our function is f(x) = 0.5^x.

then, if we want to find f(5) we have:

f(5) = 0.5^5 = 0.03125

Then the correct option is option c.

c. 4 1/4 pounds

( ͡° ͜ʖ ͡°)

step-by-step explanation:

just copy and paste it.

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