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.

Respuesta :

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.

The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.

What is a Polynomial function?

A polynomial function exists as a function that examines only non-negative integer powers or only positive integer exponents of a variable in a formula like the quadratic equation, cubic equation, etc.

Given,

The depth of snow after n hours of a snowstorm exists represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5

To find,

Which statement explains the sequence of numbers rendered by the function.

Step 1

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

Hence, A)The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.

To learn more about Polynomial function refers to:

https://brainly.com/question/2833285

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