MATH SOLVE

2 months ago

Q:
# 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 monthsh(x) = 3(2x + (3)x); 2 monthsh(x) = 2(3x + 3(2)x); 4 monthsh(x) = 3x + (2)x; 6 months

Accepted Solution

A:

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

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