The following table gives the rate, in cubic centimeters, that air is leaking from a balloon t seconds after it is inflated. Let be that rate. What is the meaning of ?
A)The rate in cubic centimeters per second that air is leaking out of the balloon after 15 seconds.
B)The total number of cubic centimeters of air that have leaked out of the balloon after 15 seconds.
C)The number of seconds it takes for 15 cubic centimeters of air to leak out of the balloon.
D)The number of seconds it takes for the rate air is leaking out of the balloon to be 15 cubic centimeters per minute.

Question

The following table gives the rate, in cubic centimeters, that air is leaking from a balloon t seconds after it is inflated. Let  be that rate. What is the meaning of  ? 
A)The rate in cubic centimeters per second that air is leaking out of the balloon after 15 seconds. 
B)The total number of cubic centimeters of air that have leaked out of the balloon after 15 seconds. 
C)The number of seconds it takes for 15 cubic centimeters of air to leak out of the balloon. 
D)The number of seconds it takes for the rate air is leaking out of the balloon to be 15 cubic centimeters per minute.

Quizplus · Accepted Answer

The rate given in the table is in cubic centimeters per second, so to find the total number of cubic centimeters of air that have leaked out of the balloon after 15 seconds, we need to integrate the rate function with respect to time from 0 to 15 seconds. This will give us the total volume of air that has leaked out over that time period.

The Following Table Gives the Rate, in Cubic Centimeters, That