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.

I'm a bit confused. Is it 15+1.5*(x-5) for x greater than 5?

Question

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. 

I'm a bit confused. Is it 15+1.5*(x-5) for x greater than 5?

anonymous · Answer

if x<=5 then 15
if x>5 then what?

anonymous · Answer

a piece wise function basically has multiple parts for different values of x.

anonymous · Answer

Or wait 15+1.50x

anonymous · Answer

you were right with your fist guess but you forgot the other piece to the piecewise function and that is if x<=5 then 15$

anonymous · Answer

Okay so it's x<=5 then 15$ and if x>5 then 15x+1.50?

anonymous · Answer

yes good job

anonymous · Answer

wait

anonymous · Answer

if x>5 then 15+(x-5)*1.5

anonymous · Answer

Ahh, that makes more sense. I was a bit confused by my own equation!