Example 11 from Algebra and Trigonometry, 3.2 Domain and Range

Writing a Piecewise Function

A museum charges $5 per person for a guided tour with a group of 1 to 9 people or a fixed $50 fee for a group of 10 or more people. Write a function relating the number of people, $n,$ to the cost, $C .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Two different formulas will be needed. For n-values under 10, $C = 5 n .$ For values of $n$ that are 10 or greater, $C = 50.$

$C (n) = {\begin{matrix} 5 n & if & 0 < n < 10 \\ 50 & if & n \geq 10 \end{matrix}$

How did it go?

Solution

Solution