548
RCMultiple Choice

Unit Summary — Cumulative exam

Question 548 • Career Explorations - EL3401

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?

Answer
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.

Explanation

The starting value is f(0) = 2.5, so the snow depth when the storm began was 2.5 inches. The rule f(n + 1) = f(n) + 0.8 means each hour’s depth is 0.8 inches greater than the previous hour’s depth. Therefore, the depth began at 2.5 inches and increased by 0.8 inches each hour.

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