An amusement park charges an admission fee of 30 dollars for each person. Let 'C' be the cost (in dollars) of admission for 'P' people.

Write an equation relating 'C' to 'P'. Then use this equation to find the cost of admission for 11 people.

Equation:
Cost for 11 people:

equation: C x P = total     or    30p = total

cost for 11 people: $330

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.