tai volunteered to sell tickets to an upcoming school play. There are a total of 75 tickets available cost of $3 each.
A) Write a function M (t) to represent the total amount of money Tai receives from the ticket sale.
B) what is the domain of the function? Explain your reasoning.
Part A
we have that
The linear function M(t) that represent this situation is
M(t)=3t
where
t -----> is the number of tickets
M(t) ----> the total amount of money Tai receives from the ticket sale.
Part B
Find out the domain
the domain is the data set of all possibles values of t
the minimum value of t is zero
the maximum value of t is 75
so
the domain is the data set of whole numbers { 0, 1, 2, 3, 4, ... 75}
the domain must be a whole number because the number of tickets can not be a fraction number or a negative number