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. choose the statement that best describes the sequence of numbers generated by the function.

a.) the depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.
b.) the depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.
c.) the depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.
d.) the depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.

Option C is correct.

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

Step-by-step explanation:

Given the function f(n+1) = f(n) + 0.8 , where f(0) = 2.5

where, f(n+1) represented the depth of snow after n hours of a snowstorm

and n represented the number of hours.

For n = 0 hours,

This mean: when the storm began, it has been snowed for n= 0 hours.

thus,

f(0) = 2.5 which means that the depth of snow was 2.5 inches when the storm began.

and

f(n+1) = f(n) +0.8,

f(1) = f(0) +0.8 = 2.5+0.8= 3.3

f(2) = f(1) +0.8 = 3.3+0.8 =4.1 and so on

which implies that when the time(n) increases by each hour, the depth of snow increases by 0.8 inches.

Therefore, the statement which best describe the situation is; The depth of of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: