### Home > APCALC > Chapter 4 > Lesson 4.2.5 > Problem4-98

4-98.

$\int _ { 1 } ^ { 4 } S ( t ) d t = 12$, where $S$ represents the rate that snow falls in a driveway in cubic inches per hour and $t$ is hours after $5$ p.m.

Write a complete description about what the value $12$ represents. In other words, in the context of the problem, what is accumulated? Use correct units and be sure to mention the meaning of the bounds in your description.

Since $S$ is a rate function, what does the area under the curve (or the integral) represent?