Q:

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)^xWhich 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.

Accepted Solution

A:
Answer:Option BStep-by-step explanation:The eqaution is f(x)=1,600(1.045)^xTo solve this question we need to analyze each statement and check if it is trueA. 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 = 2083.6162f(6) - f(4) = 175.5865 175.5865/2 years = 87.793 Β β‰  29.26FalseB. The average annual increase in sales from years 8 to 10 was approximately $104.70 million.f(8)=1,600(1.045)^8 = 2275.3609f(10)=1,600(1.045)^10 = 2484.7510f(10) - f(8) =209.3901 209.3901/2 = 104.7 = $104.70 million.TrueC. The average annual increase in sales from years 2 to 4 was approximately $53.60 million.f(2)=1,600(1.045)^2 = 1747.24f(4)=1,600(1.045)^4 = 1908.0297f(4) - f(2) = 160.789 160.789 /2 = 80.3945 β‰  53.60 FalseD. The average annual increase in sales from years 6 to 8 was approximately $191.75 million.f(6)=1,600(1.045)^6 = 2083.6162f(8)=1,600(1.045)^8 = 2275.3609f(8) - f(6) = 191.7447191.7447 / 2 = 95.872 β‰  191.75 False