Suppose there are already $ b in the class Pizza's fund.
Now suppose the students behave well for x days.
Mr Hess puts a dollar for every day they behave well.
So for x days he shall put $1 times x days = $x
So the total fund in the class pizza's fund shall be $ (x + b)
Let this accumulated fund be represented by y.
So we have
y = x + b
This is a linear function.
So Pizza party fund is a linear function.
Option C) is the right answer.