# The hard disk drive on a computer holds 600 gigabytes of information. That is 600,000 megabytes. The formatting information, operating system, and applications software take up 6000megabytes 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.for a change of 1 in the number of pictures that are stored.SelectThe change in total storage space used is(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 orn the disk drive if there are 600 pictures stored on the drive.SC)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 574,000,000,000bytes free. This message means that there are 574,000 megabytes of storage space left on the computer. How many pictures are stored on the disk drive?picturesHow many additional pictures can be added before the disk drive is filled?picturesNeed Help?Talk to a TutorMaster ItRead It10:47 PMAe9/29/2019Type here to searchhpoxsefo&%\$83PUTREJLKFGDs(

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Step 1

Given that the total space for the computer holds 600 gigabytes, that is 600,000 megabytes. Among these, the OS and application software takes 6000 megabytes and each picture takes 2 megabytes.

Let the number of picture be n, then the total storage will be

Step 2

(a) If there is an increase in the number of pictures to be stored then the empty space decreases and clearly the occupied space increases. Also, the function is linear because the total storage is a constant.

Thus, the change in total storage used is increasing for a change of 1 in number of pictures that are stored.

Step 3

(b) The total amount of storage space used on the disk drive as a linea...

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