Question

PLZ HELP ME SOLVE THIS! The 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.

Answer 1

Option A. is the correct option.

Explanation:

Annual sales turnover is modeled by a function.

f(x) = 1600 (1.045)ˣ

Where x is the time in years.

Now turnover after 2 years = 1600(1.045)² = 1747.24

turnover after 4 years = 1600(1.045)⁴ = 1908.03

turnover after 6 years = 1600(1.045)⁶ = 2083.62

turnover after 8 years = 1600(1.045)⁸ = 2275.36

turnover after 10 years = 1600(1.045)¹⁰ = 2484.75

Option A : average increase in sales from 6 to 8 years

= 2275.36 - 2083.62 = 191.75 Correct option.

Option B : Average increase in sales from years 4 to 6

= 2083.62 - 1908.03 = 175.59 Incorrect option.

Option C: Average increase in sales from years 2 to 4

= 1908.03 - 1747.24 = 160.79 Incorrect option.

Option D : Average increase in sales from 8 to 10

= 2484.75 - 2275.36 = 209.39 Incorrect option.

Option A. is the correct option.