Question

A sports team is throwing an end-of-season party at the fitness club. The costs associated with the party include a $150 flat fee for the room rental and a $14 per person charge for the Italian buffet. An 18% tip must be added to the cost of the food. Express the total cost for the party as a function of the number of people attending

Answer 1

Answer:

    $c(x)=150+16.52x$

• With x being the number of people attending the party, and c(x) the cost in dollars.

Explanation:

The total cost is comprised of three costs, namely the flat fee for the room rental ($150), the charge person for the Italian buffet ($14 per person), and the tip (18% added to the cost of the food). With this you can build your equation:

$Total\text{ }cost= 150+ 14x+18\%\times (14x)$

Where x respresents the number of people attending the party.

Convert 18% to its decimal form, which is 0.18 and simplify the equation:

      $Total\text{ }cost= 150+ 14x+0.18\times (14x)=150+14x+2.52x\\ \\ Total\text{ }cost=150+16.52x$

Hence, calling the function c(x), it is:

           $c(x)=150+16.52x$, with x being the number of people attending the party, and c(x) the cost in dollars.