Football Tickets At a certain school, the number ofstudent tickets sold for a home football game canbe modeled by S(p) = 62p + 8500, where p isthe winning percent of the home team. The numberof nonstudent tickets sold for these home games isgiven by N(p) = 0.5p2 + 16p + 4400.a. Write an equation for the total number of ticketssold for a home football game at this school as afunction of the winning percent p.b. What is the domain for the function in part (a) inthis context?c. Assuming that the football stadium is filled to capacity when the team wins 90% of its home games,what is the capacity of the school’s stadium?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Football Tickets At a certain school, the number of
student tickets sold for a home football game can
be modeled by S(p) = 62p + 8500, where p is
the winning percent of the home team. The number
of nonstudent tickets sold for these home games is
given by N(p) = 0.5p2 + 16p + 4400.
a. Write an equation for the total number of tickets
sold for a home football game at this school as a
function of the winning percent p.
b. What is the domain for the function in part (a) in
this context?
c. Assuming that the football stadium is filled to capacity when the team wins 90% of its home games,
what is the capacity of the school’s stadium?
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