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

$C(x)=\dfrac{4000x+1300}{3}$

To find:

The cost to install 45 air conditioners.

Solution:

We have,

$C(x)=\dfrac{4000x+1300}{3}$

Putting x=45, we get

$C(45)=\dfrac{4000(45)+1300}{3}$

$C(45)=\dfrac{180000+1300}{3}$

$C(45)=\dfrac{181300}{3}$

$C(45)=60433.3333...$

$C(45)\approx 60433.33$

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