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.
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Answer:
Option A. is the correct option.
Step-by-step 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.