The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. which statement describes the sequence of numbers generated by the function?
the depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.
the depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.
the depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.
the depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.

C)The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.

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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.