Find the average rate of change from x = 7 to x = 14 for the function f (x) = 0.01 (2) ^x and select the correct answer below.

23.22

35.84

128

163.84

X = 7 to x = 14

f (x) = 0.01 (2) ^x

f (7) = 0.01 (2) ⁷ = 0.01 (128) = 1.28

f (8) = 0.01 (2) ⁸ = 0.01 (256) = 2.56

f (9) = 0.01 (2) ⁹ = 0.01 (512) = 5.12

f (10) = 0.01 (2) ¹⁰ = 0.01 (1,024) = 10.24

f (11) = 0.01 (2) ¹¹ = 0.01 (2,048) = 20.48

f (12) = 0.01 (2) ¹² = 0.01 (4,096) = 40.96

f (13) = 0.01 (2) ¹³ = 0.01 (8,192) = 81.92

f (14) = 0.01 (2) ¹⁴ = 0.01 (16,384) = 163.84

total 326.40