Given function models the annual sales turnover of a company, f (x), in millions of dollars, x years after the company was listed on the stock exchange.

f (x) = 1,600 (1.045) ^x

Which statement is true?

A. The average annual increase in sales from years 4 to 6 was approximately $29.26 million.

B. The average annual increase in sales from years 8 to 10 was approximately $104.70 million.

C. The average annual increase in sales from years 2 to 4 was approximately $53.60 million.

D. The average annual increase in sales from years 6 to 8 was approximately $191.75 million.

Option B

Step-by-step explanation:

The eqaution is

f (x) = 1,600 (1.045) ^x

To solve this question we need to analyze each statement and check if it is true

A. The average annual increase in sales from years 4 to 6 was approximately $29.26 million.

f (4) = 1,600 (1.045) ^4 = 1908.0297

f (6) = 1,600 (1.045) ^6 = 2083.6162

f (6) - f (4) = 175.5865

175.5865/2 years = 87.793 ≠ 29.26

False

B. The average annual increase in sales from years 8 to 10 was approximately $104.70 million.

f (8) = 1,600 (1.045) ^8 = 2275.3609

f (10) = 1,600 (1.045) ^10 = 2484.7510

f (10) - f (8) = 209.3901

209.3901/2 = 104.7 = $104.70 million.

True

C. The average annual increase in sales from years 2 to 4 was approximately $53.60 million.

f (2) = 1,600 (1.045) ^2 = 1747.24

f (4) = 1,600 (1.045) ^4 = 1908.0297

f (4) - f (2) = 160.789

160.789 / 2 = 80.3945 ≠ 53.60

False

D. The average annual increase in sales from years 6 to 8 was approximately $191.75 million.

f (6) = 1,600 (1.045) ^6 = 2083.6162

f (8) = 1,600 (1.045) ^8 = 2275.3609

f (8) - f (6) = 191.7447

191.7447 / 2 = 95.872 ≠ 191.75

False