16. Higher Order Thinking A cell phone plan is shown at the
right. The rates, which include an unlimited data plan, are the
same each month for 7 months. The total cost for all 7 months
is $180.39. Let m represent the average number of minutes that
exceeds 700 minutes each month.
a. Write an equation to represent the given situation.
b. Solve the equation to determine how many additional
minutes, on average, you use each month.

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.

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step-by-step explanation:

1,2,4,5,10,11,20,22,44,55,110,220