Question 1112522
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:
{{{drawing(300,300,-10,90,-1,9,grid(0),
arrow(0,5,11.9,5),triangle(9,5.2,11.9,5,9,4.8),
circle(12,6.5,0.7),
circle(12,6.5,0.5),arrow(12,6.5,59.9,6.5),
circle(60,5,0.7),circle(60,5,0.5),
arrow(60,5,90,5),locate(80,-0.4,age),
locate(1,8.5,price)
)}}}
Or like this:
{{{drawing(600,300,-10,90,-1,9,grid(0),
triangle(0,5,11.5,5,0,5),circle(12,5,0.5),
circle(12,6.5,0.5),circle(12,6.5,0.3),
circle(12,6.5,0.5),triangle(12,6.5,59.9,6.5,12,6.5),
circle(60,6.5,0.5),circle(60,5,0.5),circle(60,5,0.3),
arrow(60,5,90,5),locate(84,-0.4,age),
locate(1,8.5,price)
)}}}
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.