Question

Precalculus question worth 20 points

I don't get this question, if anyone could help that'd be great!

Santa's Wonderland is an extravagant holiday light display that is open from early November through January each year. The entry fee is $15 per vehicle for up to and including 5 people, with an additional $1.50 for each person over 5. Express this information as a piecewise function of x, where x represents the number of people in the vehicle.

Answer 1

notice the picture, after the price of quantity (x) of 5, the price begins to slant up, but before 5 is just a straight line, a steady price of 15

`\bf f(x)= \begin{cases} 15,&0\ \textless \ x\le 5\\\\ 1.5x+7.5,&x\ \textgreater \ 5 \end{cases}`

Answer 2

See the graph.

Explanation:

The function that represents the problem is

f(x) = {15 if 1≤x≤5 and 15+1.50(x-5) if x>5

and the graph is in the image, the green line is in y=15. You need to be clear that x takes integer values, but the graph shows a continuous function.