Find the missing value for the exponential function represented by the table below.

x y
-2 26
-1 18.2
0 12.74
1
2 6.2426

a.
-8.918

c.
8.756

b.
9.213

d.
8.918

Option D. 8.918

Step-by-step explanation:

The given function is in the form of exponential function given in the table.

x = -2     -1       0       1     2

y = 26  18.2  12.74   x   6.2464

We can write the nth term of the function as

Here a = 26

r = common ratio = second term/ first term = 18.2/26 = 0.7

n = 4

Now we have to find the 4th term of the sequence.

= 26× (0.7)³ = 26×0.343 = 8.918

Therefore Option D. 8.918 is the answer.