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