Question

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?
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.

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

C

"When the storm began", it means it has been snowed for 0 hours, so n=0.
f(0)=2.5, thus the depth of snow was 2.5 inches when the storm began.

f(n+1)=f(n)+0.8, so f(n+1)-f(n)=0.8
it means when the time increases by one hour, the depth of snow increases by 0.8 inches.