the depth of snow after n hours of a snowstorm is represented by the function f(n + 1)=f(n)+0.8 where…

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.
Answer
Explanation:
Step1: Analyze the initial - value
The function is given as (f(n + 1)=f(n)+0.8) with (f(0) = 2.5). Here, (n = 0) represents the start of the snow - storm. So, the depth of snow at the start ((n = 0)) is (f(0)=2.5) inches.
Step2: Analyze the recurrence relation
The recurrence relation (f(n + 1)=f(n)+0.8) means that for each additional hour ((n) increases by 1), the depth of snow increases by 0.8 inches.
Answer:
The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.