Question 1112522: Hello Online Tutors! Hope everyone has been enjoying the snow in the East! Here's my question:
Graph the step function for the movie theater charges shown on the sign. Be sure to label your axes.
Sign: Loews Theater Ticket Prices: $5.00 if under 12
So many thanks to anyone gracious enough to help!
Amelia B
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Hi, Amelia.
I believe there are missing price steps in your question,
because I do not know how much a 13-year old, or a 70-year old would have too pay for a ticket.
Let's say that seniors (age 60 and over) would pay $5.00 fora ticket,
and maybe everyone else would pay the $6.50 adult price.
I would graph that step function the way the teacher prefers, or the way the textbook shows.
Maybe like this:
Or like this:
The filled-in circles at points (12,6.5) and (60,5)
show that a person would pay $6.50 for a ticket on his/her 12th birthday,
and $5.00 for a ticket on his/her 60th birthday.
The open circles (or arrowheads) at points (12,5) and (60,6.5)
show that up to the day before their birthdays
a person about to turn 12 would pay $5.00 for a ticket,
and a person about to turn 60 would pay $6.50 for a ticket.
The arrow head at the right end of the graph just means that the line goes on,
and a 105-year old would still pay $5.00 for a ticket.
Some teachers may say that you should not continue the x- and y-axes into the negative numbers.
Other teacher would say that you would include parts of the axes would negative numbers
(as I did), but that you should have an arrowhead at the negative end to show that axes continue to infinity on both ends.
As I have seen teachers mark down answers that do not agree with their formats and conventions,
pay attention to what the teacher wants, and good luck.
|
|
|
