# he hard disk drive on a computer holds 800 gigabytes of information

he hard disk drive on a computer holds 800 gigabytes of information. That is 800,000 megabytes. The formatting information, operating system, and applications software take up 4000 megabytes of disk space. The operator wants to store on his computer a collection of digitized pictures, each of which requires 2 megabytes of space. (a) We think of the total amount of storage space used on the disk drive as a function of the number of pictures that are stored on the drive. Explain why this function is linear. The change in total storage space used is  —Select— always the same steadily increasing steadily decreasing increasing at an accelerated rate decreasing at an accelerated rate for a change of 1 in the number of pictures that are stored. (b) Find a formula to express the total amount of storage space S used on the disk drive as a linear function of the number of pictures n that are stored on the drive. S ( n ) = (c) Express using functional notation the total amount of storage space used on the disk drive if there are 600 pictures stored on the drive. S (  ) Calculate that value. megabytes (d) After putting a number of pictures on the disk drive, the operator executes the directory command, and at the end of the list the computer displays the message 776,000,000,000 bytes free . This message means that there are 776,000 megabytes of storage space left on the computer. How many pictures are stored on the disk drive? pictures How many additional pictures can be added before the disk drive is filled? pictures

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