Question

The cost to install x number of central air conditioning units for a company is given by the function C(x) = 4000x +1300/3 Use the function to determine the cost to install 45 air conditioners

Answer 1

Given:

The cost to install x number of central air conditioning units for a company is given by the function

`C(x)=(4000x+1300)/(3)`

To find:

The cost to install 45 air conditioners.

Solution:

We have,

`C(x)=(4000x+1300)/(3)`

Putting x=45, we get

`C(45)=(4000(45)+1300)/(3)`

`C(45)=(180000+1300)/(3)`

`C(45)=(181300)/(3)`

`C(45)=60433.3333...`

`C(45)\approx 60433.33`

Therefore, the cost to install 45 air conditioners is $60433.33.