The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f (x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f (x) ?

f (x) = 91.2 (1.013) x

f (x) = 90 (1.013) x

f (x) = 91.2 (2.2) x

f (x) = 90 (2.2) x

Question

Mathematics

Chasity Guerra

29 October, 06:30

The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f (x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f (x) ?

f (x) = 91.2 (1.013) x

f (x) = 90 (1.013) x

f (x) = 91.2 (2.2) x

f (x) = 90 (2.2) x

+3

Answers (1)

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Santos · Answer 1

Answer: the second option (but you need to show the operator ^)

2005 - - - 90,000

2006 - - - 91,200

Factor 91,200 / 90,000 = 1.013

year salary

2005 - - - 90,000 = (90,000) (1.013) ^0

2006 - - - 90,000 (1.013) ^1

2007 - - - 90,000 (1.013) ^2

f (x) = 90,000 (1.013) ^x

if you show the numbers in thousands 90,000 converts in 90

f (x) = 90 (1.013) ^x