A company is setting up offices in two different cities. The number of employees hired by the company for its office in city A over x months is given by the function f (x) = 9x. The number of employees hired by the company for its office in city B over x months is given by the function g (x) = 3 (2) x. Which function best describes the total number of employees in the company over x months, and after how many months will the total number of employees be 141?

Question

Mathematics

Joy Zhang

14 October, 20:04

A company is setting up offices in two different cities. The number of employees hired by the company for its office in city A over x months is given by the function f (x) = 9x. The number of employees hired by the company for its office in city B over x months is given by the function g (x) = 3 (2) x. Which function best describes the total number of employees in the company over x months, and after how many months will the total number of employees be 141?

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Phoenix Barajas · Answer 1

The equation is c (x) = 15x and it will take 9.4 months.

To find the combined function (c (x)) we have to add the 2 functions together.

9x + 3 (2) x

9x + 6x

15x

The combined equation would be: c (x) = 15x.

Now, solve the following equation to determine the number months until they reach 141.

141 = 15x

9.4 = x