At a certain school, the number of student tickets sold for a home football game can be modeled by S(p) = 59p + 8100, 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) = 0.2p + 12p + 4100. a. Write an equation T(p) 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? a. 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 is T(p) = (Use integers or decimals for any numbers in the expression.)

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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.