Question

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?

h(x) = 3(3x + (2)x); 5 months
h(x) = 3(2x + (3)x); 2 months
h(x) = 2(3x + 3(2)x); 4 months
h(x) = 3x + (2)x; 6 months

Answer 1

The funcyion for the problem is
h(x) = 3(3x + (2)x);
5 months

Answer 2

For this case we have the following functions:
 City A:
 f (x) = 9x
 City B:
 g (x) = 3 (2) ^ x
 The total number of employees will be:
 h (x) = f (x) + g (x)
 Substituting we have:
 h (x) = 9x + 3 (2) ^ x
 Rewriting we have:
 h (x) = 3 (3x + (2) ^ x)
 For 5 months we have:
 h (5) = 3 * (3 * (5) + (2) ^ 5)
 h (5) = 141
 Answer:
 the total number of employees in the company over x months and the total number of employees will be 141 when the function is:
 h (x) = 3 (3x + (2)^x); 5 months